发布求助
文献互助 智能选刊 最新文献

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg最新文献

筛选
英文 中文
The adjoint of the nullwert map on Jacobi forms of lattice index 网格指数雅可比形式上的空值映射的邻接点
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-07-25 DOI: 10.1007/s12188-024-00281-5
Hatice Boylan
{"title":"The adjoint of the nullwert map on Jacobi forms of lattice index","authors":"Hatice Boylan","doi":"10.1007/s12188-024-00281-5","DOIUrl":"10.1007/s12188-024-00281-5","url":null,"abstract":"<div><p>We state and prove a formula for the adjoint of the nullwert map from spaces of Jacobi cusp forms of lattice index to spaces of modular forms. Furthermore, we prove a nonvanishing result for the image of the adjoint of the nullwert map.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 2","pages":"225 - 234"},"PeriodicalIF":0.4,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141774736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the non-vanishing of theta lifting of Bianchi modular forms to Siegel modular forms 论从比安奇模态到西格尔模态的 Theta 提升的非凡性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-07-19 DOI: 10.1007/s12188-024-00279-z
Di Zhang
{"title":"On the non-vanishing of theta lifting of Bianchi modular forms to Siegel modular forms","authors":"Di Zhang","doi":"10.1007/s12188-024-00279-z","DOIUrl":"10.1007/s12188-024-00279-z","url":null,"abstract":"<div><p>In this paper we study the theta lifting of a weight 2 Bianchi modular form <span>({mathcal {F}})</span> of level <span>(Gamma _0({mathfrak {n}}))</span> with <span>({mathfrak {n}})</span> square-free to a weight 2 holomorphic Siegel modular form. Motivated by Prasanna’s work for the Shintani lifting, we define the local Schwartz function at finite places using a quadratic Hecke character <span>(chi )</span> of square-free conductor <span>({mathfrak {f}})</span> coprime to level <span>({mathfrak {n}})</span>. Then, at certain 2 by 2 g matrices <span>(beta )</span> related to <span>({mathfrak {f}})</span>, we can express the Fourier coefficient of this theta lifting as a multiple of <span>(L({mathcal {F}},chi ,1))</span> by a non-zero constant. If the twisted <i>L</i>-value is known to be non-vanishing, we can deduce the non-vanishing of our theta lifting.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 2","pages":"163 - 208"},"PeriodicalIF":0.4,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141743300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Connectivity properties of the Schur–Horn map for real Grassmannians 实格拉斯曼人的舒尔-霍恩图谱的连接特性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-05-06 DOI: 10.1007/s12188-024-00277-1
Augustin-Liviu Mare
{"title":"Connectivity properties of the Schur–Horn map for real Grassmannians","authors":"Augustin-Liviu Mare","doi":"10.1007/s12188-024-00277-1","DOIUrl":"10.1007/s12188-024-00277-1","url":null,"abstract":"<div><p>To any <i>V</i> in the Grassmannian <span>(textrm{Gr}_k({mathbb R}^n))</span> of <i>k</i>-dimensional vector subspaces in <span>({mathbb {R}}^n)</span> one can associate the diagonal entries of the (<span>(ntimes n)</span>) matrix corresponding to the orthogonal projection of <span>({mathbb {R}}^n)</span> to <i>V</i>. One obtains a map <span>(textrm{Gr}_k({mathbb {R}}^n)rightarrow {mathbb {R}}^n)</span> (the Schur–Horn map). The main result of this paper is a criterion for pre-images of vectors in <span>({mathbb {R}}^n)</span> to be connected. This will allow us to deduce connectivity criteria for a certain class of subspaces of the real Stiefel manifold which arise naturally in frame theory. We extend in this way results of Cahill et al. (SIAM J Appl Algebra Geom 1:38–72, 2017).</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 1","pages":"33 - 55"},"PeriodicalIF":0.4,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140886933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lifts of line bundles on curves on K3 surfaces K3 表面曲线上线束的提升
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-04-16 DOI: 10.1007/s12188-024-00275-3
Kenta Watanabe, Jiryo Komeda
{"title":"Lifts of line bundles on curves on K3 surfaces","authors":"Kenta Watanabe,&nbsp;Jiryo Komeda","doi":"10.1007/s12188-024-00275-3","DOIUrl":"10.1007/s12188-024-00275-3","url":null,"abstract":"<div><p>Let <i>X</i> be a K3 surface, let <i>C</i> be a smooth curve of genus <i>g</i> on <i>X</i>, and let <i>A</i> be a line bundle of degree <i>d</i> on <i>C</i>. Then a line bundle <i>M</i> on <i>X</i> with <span>(Motimes {mathcal {O}}_C=A)</span> is called a lift of <i>A</i>. In this paper, we prove that if the dimension of the linear system |<i>A</i>| is <span>(rge 2)</span>, <span>(g&gt;2d-3+(r-1)^2)</span>, <span>(dge 2r+4)</span>, and <i>A</i> computes the Clifford index of <i>C</i>, then there exists a base point free lift <i>M</i> of <i>A</i> such that the general member of |<i>M</i>| is a smooth curve of genus <i>r</i>. In particular, if |<i>A</i>| is a base point free net which defines a double covering <span>(pi :Clongrightarrow C_0)</span> of a smooth curve <span>(C_0subset {mathbb {P}}^2)</span> of degree <span>(kge 4)</span> branched at distinct 6<i>k</i> points on <span>(C_0)</span>, then, by using the aforementioned result, we can also show that there exists a 2:1 morphism <span>({tilde{pi }}:Xlongrightarrow {mathbb {P}}^2)</span> such that <span>({tilde{pi }}|_C=pi )</span>.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 1","pages":"95 - 106"},"PeriodicalIF":0.4,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140612935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The distribution of the multiplicative index of algebraic numbers over residue classes 代数数的乘法指数在残差类上的分布
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-04-09 DOI: 10.1007/s12188-024-00276-2
Pieter Moree, Antonella Perucca, Pietro Sgobba
{"title":"The distribution of the multiplicative index of algebraic numbers over residue classes","authors":"Pieter Moree,&nbsp;Antonella Perucca,&nbsp;Pietro Sgobba","doi":"10.1007/s12188-024-00276-2","DOIUrl":"10.1007/s12188-024-00276-2","url":null,"abstract":"<div><p>Let <i>K</i> be a number field and <i>G</i> a finitely generated torsion-free subgroup of <span>(K^times )</span>. Given a prime <span>(mathfrak {p})</span> of <i>K</i> we denote by <span>({{,textrm{ind},}}_mathfrak {p}(G))</span> the index of the subgroup <span>((Gbmod mathfrak {p}))</span> of the multiplicative group of the residue field at <span>(mathfrak {p})</span>. Under the Generalized Riemann Hypothesis we determine the natural density of primes of <i>K</i> for which this index is in a prescribed set <i>S</i> and has prescribed Frobenius in a finite Galois extension <i>F</i> of <i>K</i>. We study in detail the natural density in case <i>S</i> is an arithmetic progression, in particular its positivity.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 1","pages":"1 - 17"},"PeriodicalIF":0.4,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140595195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
(C^{1,alpha })-regularity for p-harmonic functions on SU(3) and semi-simple Lie groups SU(3) 和半简单李群上 p 谐函数的 $$C^{1,alpha }$$ 规律性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-03-18 DOI: 10.1007/s12188-024-00274-4
Chengwei Yu
{"title":"(C^{1,alpha })-regularity for p-harmonic functions on SU(3) and semi-simple Lie groups","authors":"Chengwei Yu","doi":"10.1007/s12188-024-00274-4","DOIUrl":"10.1007/s12188-024-00274-4","url":null,"abstract":"<div><p>In this paper, when <span>(1&lt;p&lt;2)</span>, we establish the <span>(C^{1,alpha }_{,textrm{loc},})</span>-regularity of weak solutions to the degenerate subelliptic <i>p</i>-Laplacian equation </p><div><div><span>$$begin{aligned} triangle _{{{mathcal {H}}},p}u(x)=sum limits _{i=1}^6X^*_i(|{nabla _{{{mathcal {H}}}}u}|^{p-2}X_iu)=0 end{aligned}$$</span></div></div><p>on SU(3) endowed with the horizontal vector fields <span>(X_1,dots ,X_6)</span>. The result can be extended to a class of compact connected semi-simple Lie group.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 1","pages":"57 - 94"},"PeriodicalIF":0.4,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140150430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Biconservative surfaces with constant mean curvature in Lorentzian space forms 洛伦兹空间形式中具有恒定平均曲率的双保守曲面
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2024-01-29 DOI: 10.1007/s12188-023-00273-x
Aykut Kayhan, Nurettin Cenk Turgay
{"title":"Biconservative surfaces with constant mean curvature in Lorentzian space forms","authors":"Aykut Kayhan,&nbsp;Nurettin Cenk Turgay","doi":"10.1007/s12188-023-00273-x","DOIUrl":"10.1007/s12188-023-00273-x","url":null,"abstract":"<div><p>In this paper, we consider biconservative and biharmonic isometric immersions into the 4-dimensional Lorentzian space form <span>({mathbb {L}}^4(delta ))</span> with constant sectional curvature <span>(delta )</span>. We obtain some local classifications of biconservative CMC surfaces in <span>({mathbb {L}}^4(delta ))</span>. Further, we get complete classification of biharmonic CMC surfaces in the de Sitter 4-space. We also proved that there is no biharmonic CMC surface in the anti-de Sitter 4-space. Further, we get the classification of biconservative, quasi-minimal surfaces in Minkowski-4 space.\u0000</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"94 1","pages":"19 - 31"},"PeriodicalIF":0.4,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139583144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type 广义Kummer型hyperkähler流形的一般基点自由性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2023-11-16 DOI: 10.1007/s12188-023-00271-z
Mauro Varesco
{"title":"Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type","authors":"Mauro Varesco","doi":"10.1007/s12188-023-00271-z","DOIUrl":"10.1007/s12188-023-00271-z","url":null,"abstract":"<div><p>We study base-point-freeness for big and nef line bundles on hyperkähler manifolds of generalized Kummer type: For <span>(nin {2,3,4})</span>, we show that, generically in all but a finite number of irreducible components of the moduli space of polarized <span>(textrm{Kum}^n)</span>-type varieties, the polarization is base-point-free. We also prove generic base-point-freeness in the moduli space in all dimensions if the polarization has divisibility one.\u0000</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"93 2","pages":"133 - 147"},"PeriodicalIF":0.4,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to: Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector 校正:具有零平均曲率矢量的洛伦兹4流形中曲面的各向同性
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2023-11-13 DOI: 10.1007/s12188-023-00272-y
Naoya Ando
{"title":"Correction to: Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector","authors":"Naoya Ando","doi":"10.1007/s12188-023-00272-y","DOIUrl":"10.1007/s12188-023-00272-y","url":null,"abstract":"","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"93 2","pages":"163 - 166"},"PeriodicalIF":0.4,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136283096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
An example of Tateno disproving conjectures of Bonato–Tardif, Thomasse, and Tyomkyn Tateno反驳Bonato-Tardif、Thomasse和Tyomkyn猜想的一个例子
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2023-11-01 DOI: 10.1007/s12188-023-00270-0
Davoud Abdi Kalow, Claude Laflamme, Atsushi Tateno, Robert Woodrow
{"title":"An example of Tateno disproving conjectures of Bonato–Tardif, Thomasse, and Tyomkyn","authors":"Davoud Abdi Kalow,&nbsp;Claude Laflamme,&nbsp;Atsushi Tateno,&nbsp;Robert Woodrow","doi":"10.1007/s12188-023-00270-0","DOIUrl":"10.1007/s12188-023-00270-0","url":null,"abstract":"<div><p>In his 2008 thesis [16] , Tateno claimed a counterexample to the Bonato–Tardif conjecture regarding the number of equimorphy classes of trees. In this paper we revisit Tateno’s unpublished ideas to provide a rigorous exposition, constructing locally finite trees having an arbitrary finite number of equimorphy classes; an adaptation provides partial orders with a similar conclusion. At the same time these examples also disprove conjectures by Thomassé and Tyomkyn.\u0000</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"93 2","pages":"99 - 131"},"PeriodicalIF":0.4,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135272208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信