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Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg最新文献

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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
Two graded rings of Hermitian modular forms 厄密模形式的两个分级环
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-08-12 DOI: 10.1007/s12188-021-00245-z
Brandon Williams
{"title":"Two graded rings of Hermitian modular forms","authors":"Brandon Williams","doi":"10.1007/s12188-021-00245-z","DOIUrl":"10.1007/s12188-021-00245-z","url":null,"abstract":"<div><p>We give generators and relations for the graded rings of Hermitian modular forms of degree two over the rings of integers in <span>({mathbb {Q}}(sqrt{-7}))</span> and <span>({mathbb {Q}}(sqrt{-11}))</span>. In both cases we prove that the subrings of symmetric modular forms are generated by Maass lifts. The computation uses a reduction process against Borcherds products which also leads to a dimension formula for the spaces of modular forms.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00245-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50043535","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: 4
A-hypergeometric series and a p-adic refinement of the Hasse-Witt matrix a -超几何级数和Hasse-Witt矩阵的p进改进
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-08-09 DOI: 10.1007/s12188-021-00243-1
Alan Adolphson, Steven Sperber
{"title":"A-hypergeometric series and a p-adic refinement of the Hasse-Witt matrix","authors":"Alan Adolphson,&nbsp;Steven Sperber","doi":"10.1007/s12188-021-00243-1","DOIUrl":"10.1007/s12188-021-00243-1","url":null,"abstract":"<div><p>We identify the <i>p</i>-adic unit roots of the zeta function of a projective hypersurface over a finite field of characteristic <i>p</i> as the eigenvalues of a product of special values of a certain matrix of <i>p</i>-adic series. That matrix is a product <span>(F(varLambda ^p)^{-1}F(varLambda ))</span>, where the entries in the matrix <span>(F(varLambda ))</span> are <i>A</i>-hypergeometric series with integral coefficients and <span>(F(varLambda ))</span> is independent of <i>p</i>.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00243-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50015771","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: 4
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