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A natural compactification of the Gromov–Hausdorff space Gromov-Hausdorff空间的一个自然紧化
4区 数学
Geometriae Dedicata Pub Date : 2023-11-02 DOI: 10.1007/s10711-023-00852-5
Hiroki Nakajima, Takashi Shioya
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引用次数: 0
Stars at infinity for boundaries of Teichmüller space 无限远处的恒星在泰希<s:1>勒空间的边界
4区 数学
Geometriae Dedicata Pub Date : 2023-10-31 DOI: 10.1007/s10711-023-00853-4
Peijia Liu, Yaozhong Shi
{"title":"Stars at infinity for boundaries of Teichmüller space","authors":"Peijia Liu, Yaozhong Shi","doi":"10.1007/s10711-023-00853-4","DOIUrl":"https://doi.org/10.1007/s10711-023-00853-4","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135872784","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
Balanced ideals and domains of discontinuity of Anosov representations 平衡理想与阿诺索夫表象的不连续域
4区 数学
Geometriae Dedicata Pub Date : 2023-10-31 DOI: 10.1007/s10711-023-00850-7
Florian Stecker
{"title":"Balanced ideals and domains of discontinuity of Anosov representations","authors":"Florian Stecker","doi":"10.1007/s10711-023-00850-7","DOIUrl":"https://doi.org/10.1007/s10711-023-00850-7","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135814234","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
Vector bundles and connections on Riemann surfaces with projective structure 具有投影结构的黎曼曲面上的向量束和连接
4区 数学
Geometriae Dedicata Pub Date : 2023-10-24 DOI: 10.1007/s10711-023-00848-1
Indranil Biswas, Jacques Hurtubise, Vladimir Roubtsov
{"title":"Vector bundles and connections on Riemann surfaces with projective structure","authors":"Indranil Biswas, Jacques Hurtubise, Vladimir Roubtsov","doi":"10.1007/s10711-023-00848-1","DOIUrl":"https://doi.org/10.1007/s10711-023-00848-1","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135220356","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
Holomorphic differential forms on moduli spaces of stable curves 稳定曲线模空间上的全纯微分形式
4区 数学
Geometriae Dedicata Pub Date : 2023-10-24 DOI: 10.1007/s10711-023-00851-6
Claudio Fontanari
{"title":"Holomorphic differential forms on moduli spaces of stable curves","authors":"Claudio Fontanari","doi":"10.1007/s10711-023-00851-6","DOIUrl":"https://doi.org/10.1007/s10711-023-00851-6","url":null,"abstract":"Abstract We prove that the space of holomorphic p -forms on the moduli space $$overline{mathcal {M}}_{g,n}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mover> <mml:mi>M</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>,</mml:mo> <mml:mi>n</mml:mi> </mml:mrow> </mml:msub> </mml:math> of stable curves of genus g with n marked points vanishes for $$p=14, 16, 18$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>=</mml:mo> <mml:mn>14</mml:mn> <mml:mo>,</mml:mo> <mml:mn>16</mml:mn> <mml:mo>,</mml:mo> <mml:mn>18</mml:mn> </mml:mrow> </mml:math> unconditionally and also for $$p=20$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>=</mml:mo> <mml:mn>20</mml:mn> </mml:mrow> </mml:math> under a natural assumption in the case $$g=3$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> . This result is consistent with the Langlands program and it is obtained by applying the Arbarello–Cornalba inductive approach to the cohomology of moduli spaces.","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135267099","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
Length minima for an infinite family of filling closed curves on a one-holed torus 一孔环面上无限族填充闭合曲线的长度最小值
4区 数学
Geometriae Dedicata Pub Date : 2023-10-24 DOI: 10.1007/s10711-023-00856-1
Zhongzi Wang, Ying Zhang
{"title":"Length minima for an infinite family of filling closed curves on a one-holed torus","authors":"Zhongzi Wang, Ying Zhang","doi":"10.1007/s10711-023-00856-1","DOIUrl":"https://doi.org/10.1007/s10711-023-00856-1","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135268172","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
Cat(0) polygonal complexes are 2-median Cat(0)多边形配合物为2中位数
4区 数学
Geometriae Dedicata Pub Date : 2023-10-24 DOI: 10.1007/s10711-023-00841-8
Shaked Bader, Nir Lazarovich
{"title":"Cat(0) polygonal complexes are 2-median","authors":"Shaked Bader, Nir Lazarovich","doi":"10.1007/s10711-023-00841-8","DOIUrl":"https://doi.org/10.1007/s10711-023-00841-8","url":null,"abstract":"Abstract Median spaces are spaces in which for every three points the three intervals between them intersect at a single point. It is well known that rank-1 affine buildings are median spaces, but by a result of Haettel, higher rank buildings are not even coarse median. We define the notion of “2-median space”, which roughly says that for every four points the minimal discs filling the four geodesic triangles they span intersect in a point or a geodesic segment. We show that CAT(0) Euclidean polygonal complexes, and in particular rank-2 affine buildings, are 2-median. In the appendix, we recover a special case of a result of Stadler of a Fary–Milnor type theorem and show in elementary tools that a minimal disc filling a geodesic triangle is injective.","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135267096","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
Uniruledness of some low-dimensional ball quotients 一些低维球商的唯一性
4区 数学
Geometriae Dedicata Pub Date : 2023-10-18 DOI: 10.1007/s10711-023-00844-5
Yota Maeda
{"title":"Uniruledness of some low-dimensional ball quotients","authors":"Yota Maeda","doi":"10.1007/s10711-023-00844-5","DOIUrl":"https://doi.org/10.1007/s10711-023-00844-5","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135823790","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
Products of two involutions in orthogonal and symplectic groups 正交群和辛群中两个对合的乘积
4区 数学
Geometriae Dedicata Pub Date : 2023-10-16 DOI: 10.1007/s10711-023-00845-4
Clément de Seguins Pazzis
{"title":"Products of two involutions in orthogonal and symplectic groups","authors":"Clément de Seguins Pazzis","doi":"10.1007/s10711-023-00845-4","DOIUrl":"https://doi.org/10.1007/s10711-023-00845-4","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113949","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
Monodromies of projective structures on surface of finite-type 有限型曲面上射影结构的单态
4区 数学
Geometriae Dedicata Pub Date : 2023-10-13 DOI: 10.1007/s10711-023-00849-0
Genyle Nascimento
{"title":"Monodromies of projective structures on surface of finite-type","authors":"Genyle Nascimento","doi":"10.1007/s10711-023-00849-0","DOIUrl":"https://doi.org/10.1007/s10711-023-00849-0","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135805174","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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