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Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg最新文献

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Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector 平均曲率矢量为零的洛伦兹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 : 2022-01-03 DOI: 10.1007/s12188-021-00254-y
Naoya Ando
{"title":"Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector","authors":"Naoya Ando","doi":"10.1007/s12188-021-00254-y","DOIUrl":"10.1007/s12188-021-00254-y","url":null,"abstract":"<div><p>We already have the concept of isotropicity of a minimal surface in a Riemannian 4-manifold and a space-like or time-like surface in a neutral 4-manifold with zero mean curvature vector. In this paper, based on the understanding of it, we define and study isotropicity of a space-like or time-like surface in a Lorentzian 4-manifold <i>N</i> with zero mean curvature vector. If the surface is space-like, then the isotropicity means either the surface has light-like or zero second fundamental form or it is an analogue of complex curves in Kähler surfaces. In addition, if <i>N</i> is a space form, then the isotropicity means that the surface has both the properties. If the surface is time-like and if <i>N</i> is a space form, then the isotropicity means that the surface is totally geodesic.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"92 1","pages":"105 - 123"},"PeriodicalIF":0.4,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00254-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50010269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Set recognition of decomposable graphs and steps towards their reconstruction 设置可分解图的识别和重建步骤
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2022-01-03 DOI: 10.1007/s12188-021-00252-0
Bernd S. W. Schröder
{"title":"Set recognition of decomposable graphs and steps towards their reconstruction","authors":"Bernd S. W. Schröder","doi":"10.1007/s12188-021-00252-0","DOIUrl":"10.1007/s12188-021-00252-0","url":null,"abstract":"<div><p>It is proved that decomposable graphs are set recognizable and that the index graph of the canonical decomposition as well as the graphs induced on the maximal autonomous sets of vertices are set reconstructible. From these results, we obtain set reconstructibility for many decomposable graphs as well as a concise description of the decomposable graphs for which set reconstruction remains an open problem.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"92 1","pages":"1 - 25"},"PeriodicalIF":0.4,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50006241","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: 2
A short note on sign changes and non-vanishing of Fourier coefficients of half-integral weight cusp forms 关于半积分权顶点形式的符号变化和傅里叶系数不消失的简短说明
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-12-14 DOI: 10.1007/s12188-021-00253-z
Winfried Kohnen
{"title":"A short note on sign changes and non-vanishing of Fourier coefficients of half-integral weight cusp forms","authors":"Winfried Kohnen","doi":"10.1007/s12188-021-00253-z","DOIUrl":"10.1007/s12188-021-00253-z","url":null,"abstract":"<div><p>We study sign changes and non-vanishing of a certain double sequence of Fourier coefficients of cusp forms of half-integral weight.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"92 1","pages":"85 - 90"},"PeriodicalIF":0.4,"publicationDate":"2021-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00253-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50025218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Constant cycle and co-isotropic subvarieties in a Mukai system Mukai系统的常循环和共各向同性亚变体
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-11-10 DOI: 10.1007/s12188-021-00251-1
Isabell Hellmann
{"title":"Constant cycle and co-isotropic subvarieties in a Mukai system","authors":"Isabell Hellmann","doi":"10.1007/s12188-021-00251-1","DOIUrl":"10.1007/s12188-021-00251-1","url":null,"abstract":"<div><p>Combining theorems of Voisin and Marian, Shen, Yin and Zhao, we compute the dimensions of the orbits under rational equivalence in the Mukai system of rank two and genus two. We produce several examples of algebraically coisotropic and constant cycle subvarieties.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"199 - 224"},"PeriodicalIF":0.4,"publicationDate":"2021-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00251-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50018096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A model for random chain complexes 随机链配合物的一个模型
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-11-09 DOI: 10.1007/s12188-021-00248-w
Michael J. Catanzaro, Matthew J. Zabka
{"title":"A model for random chain complexes","authors":"Michael J. Catanzaro,&nbsp;Matthew J. Zabka","doi":"10.1007/s12188-021-00248-w","DOIUrl":"10.1007/s12188-021-00248-w","url":null,"abstract":"<div><p>We introduce a model for random chain complexes over a finite field. The randomness in our complex comes from choosing the entries in the matrices that represent the boundary maps uniformly over <span>(mathbb {F}_q)</span>, conditioned on ensuring that the composition of consecutive boundary maps is the zero map. We then investigate the combinatorial and homological properties of this random chain complex.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"335 - 344"},"PeriodicalIF":0.4,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00248-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50016713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a non-local area-preserving curvature flow in the plane 关于平面上的非局部保曲率流
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-09-30 DOI: 10.1007/s12188-021-00249-9
Zezhen Sun
{"title":"On a non-local area-preserving curvature flow in the plane","authors":"Zezhen Sun","doi":"10.1007/s12188-021-00249-9","DOIUrl":"10.1007/s12188-021-00249-9","url":null,"abstract":"<div><p>In this paper, we consider a kind of area-preserving flow for closed convex planar curves which will decrease the length of the evolving curve and make the evolving curve more and more circular during the evolution process. And the final shape of the evolving curve will be a circle as time <span>(trightarrow +infty )</span>.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"345 - 352"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50056366","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: 2
The characterization of aCM line bundles on quintic hypersurfaces in (mathbb {P}^3) 五次超曲面上aCM线束的表征 (mathbb {P}^3)
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-09-28 DOI: 10.1007/s12188-021-00250-2
Kenta Watanabe
{"title":"The characterization of aCM line bundles on quintic hypersurfaces in (mathbb {P}^3)","authors":"Kenta Watanabe","doi":"10.1007/s12188-021-00250-2","DOIUrl":"10.1007/s12188-021-00250-2","url":null,"abstract":"<div><p>Let <i>X</i> be a smooth quintic hypersurface in <span>(mathbb {P}^3)</span>, let <i>C</i> be a smooth hyperplane section of <i>X</i>, and let <span>(H=mathcal {O}_X(C))</span>. In this paper, we give a necessary and sufficient condition for the line bundle given by a non-zero effective divisor on <i>X</i> to be initialized and aCM with respect to <i>H</i>.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"179 - 197"},"PeriodicalIF":0.4,"publicationDate":"2021-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50052458","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: 2
Correction to: A counting invariant for maps into spheres and for zero loci of sections of vector bundles 修正:一个计数不变量，适用于映射到球体和矢量束截面的零轨迹
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-09-14 DOI: 10.1007/s12188-021-00247-x
Panagiotis Konstantis
{"title":"Correction to: A counting invariant for maps into spheres and for zero loci of sections of vector bundles","authors":"Panagiotis Konstantis","doi":"10.1007/s12188-021-00247-x","DOIUrl":"10.1007/s12188-021-00247-x","url":null,"abstract":"","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"353 - 354"},"PeriodicalIF":0.4,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00247-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50027709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dirichlet series expansions of p-adic L-functions p-adic L-函数的Dirichlet级数展开式
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-08-30 DOI: 10.1007/s12188-021-00244-0
Heiko Knospe, Lawrence C. Washington
{"title":"Dirichlet series expansions of p-adic L-functions","authors":"Heiko Knospe,&nbsp;Lawrence C. Washington","doi":"10.1007/s12188-021-00244-0","DOIUrl":"10.1007/s12188-021-00244-0","url":null,"abstract":"<div><p>We study <i>p</i>-adic <i>L</i>-functions <span>(L_p(s,chi ))</span> for Dirichlet characters <span>(chi )</span>. We show that <span>(L_p(s,chi ))</span> has a Dirichlet series expansion for each regularization parameter <i>c</i> that is prime to <i>p</i> and the conductor of <span>(chi )</span>. The expansion is proved by transforming a known formula for <i>p</i>-adic <i>L</i>-functions and by controlling the limiting behavior. A finite number of Euler factors can be factored off in a natural manner from the <i>p</i>-adic Dirichlet series. We also provide an alternative proof of the expansion using <i>p</i>-adic measures and give an explicit formula for the values of the regularized Bernoulli distribution. The result is particularly simple for <span>(c=2)</span>, where we obtain a Dirichlet series expansion that is similar to the complex case.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"325 - 334"},"PeriodicalIF":0.4,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12188-021-00244-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Topological mirror symmetry for rank two character varieties of surface groups 秩二特征面群的拓扑镜像对称
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-08-21 DOI: 10.1007/s12188-021-00246-y
Mirko Mauri
{"title":"Topological mirror symmetry for rank two character varieties of surface groups","authors":"Mirko Mauri","doi":"10.1007/s12188-021-00246-y","DOIUrl":"10.1007/s12188-021-00246-y","url":null,"abstract":"<div><p>The moduli spaces of flat <span>({text{SL}}_2)</span>- and <span>({text{PGL}}_2)</span>-connections are known to be singular SYZ-mirror partners. We establish the equality of Hodge numbers of their intersection (stringy) cohomology. In rank two, this answers a question raised by Tamás Hausel in Remark 3.30 of “Global topology of the Hitchin system”.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"297 - 303"},"PeriodicalIF":0.4,"publicationDate":"2021-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00246-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50039995","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
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