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Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg最新文献

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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
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":"91 2","pages":"257 - 285"},"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":"91 2","pages":"225 - 256"},"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
On functorial (co)localization of algebras and modules over operads 操作数上代数和模的泛函局部化
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-07-22 DOI: 10.1007/s12188-021-00240-4
Javier J. Gutiérrez, Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær
{"title":"On functorial (co)localization of algebras and modules over operads","authors":"Javier J. Gutiérrez,&nbsp;Oliver Röndigs,&nbsp;Markus Spitzweck,&nbsp;Paul Arne Østvær","doi":"10.1007/s12188-021-00240-4","DOIUrl":"10.1007/s12188-021-00240-4","url":null,"abstract":"<div><p>Motivated by calculations of motivic homotopy groups, we give widely attained conditions under which operadic algebras and modules thereof are preserved under (co)localization functors.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"153 - 178"},"PeriodicalIF":0.4,"publicationDate":"2021-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00240-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50042159","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
On the growth and zeros of polynomials attached to arithmetic functions 关于算术函数上多项式的增长与零
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-06-14 DOI: 10.1007/s12188-021-00241-3
Bernhard Heim, Markus Neuhauser
{"title":"On the growth and zeros of polynomials attached to arithmetic functions","authors":"Bernhard Heim,&nbsp;Markus Neuhauser","doi":"10.1007/s12188-021-00241-3","DOIUrl":"10.1007/s12188-021-00241-3","url":null,"abstract":"<div><p>In this paper we investigate growth properties and the zero distribution of polynomials attached to arithmetic functions <i>g</i> and <i>h</i>, where <i>g</i> is normalized, of moderate growth, and <span>(0&lt;h(n) le h(n+1))</span>. We put <span>(P_0^{g,h}(x)=1)</span> and </p><div><div><span>$$begin{aligned} P_n^{g,h}(x) := frac{x}{h(n)} sum _{k=1}^{n} g(k) , P_{n-k}^{g,h}(x). end{aligned}$$</span></div></div><p>As an application we obtain the best known result on the domain of the non-vanishing of the Fourier coefficients of powers of the Dedekind <span>(eta )</span>-function. Here, <i>g</i> is the sum of divisors and <i>h</i> the identity function. Kostant’s result on the representation of simple complex Lie algebras and Han’s results on the Nekrasov–Okounkov hook length formula are extended. The polynomials are related to reciprocals of Eisenstein series, Klein’s <i>j</i>-invariant, and Chebyshev polynomials of the second kind.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"305 - 323"},"PeriodicalIF":0.4,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00241-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50026010","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 geometric splitting theorem for actions of semisimple Lie groups 半单李群作用的几何分裂定理
IF 0.4 4区 数学
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-06-07 DOI: 10.1007/s12188-021-00242-2
José Rosales-Ortega
{"title":"A geometric splitting theorem for actions of semisimple Lie groups","authors":"José Rosales-Ortega","doi":"10.1007/s12188-021-00242-2","DOIUrl":"10.1007/s12188-021-00242-2","url":null,"abstract":"<div><p>Let <i>M</i> be a compact connected smooth pseudo-Riemannian manifold that admits a topologically transitive <i>G</i>-action by isometries, where <span>(G = G_1 ldots G_l)</span> is a connected semisimple Lie group without compact factors whose Lie algebra is <span>({mathfrak {g}}= {mathfrak {g}}_1 oplus {mathfrak {g}}_2 oplus cdots oplus {mathfrak {g}}_l)</span>. If <span>(m_0,n_0,n_0^i)</span> are the dimensions of the maximal lightlike subspaces tangent to <i>M</i>, <i>G</i>, <span>(G_i)</span>, respectively, then we study <i>G</i>-actions that satisfy the condition <span>(m_0=n_0^1 + cdots + n_0^{l})</span>. This condition implies that the orbits are non-degenerate for the pseudo Riemannian metric on <i>M</i> and this allows us to consider the normal bundle to the orbits. Using the properties of the normal bundle to the <i>G</i>-orbits we obtain an isometric splitting of <i>M</i> by considering natural metrics on each <span>(G_i)</span>.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"91 2","pages":"287 - 296"},"PeriodicalIF":0.4,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-021-00242-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50013196","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
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