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Geometriae Dedicata最新文献

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A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line 实线拟等距群商的结构定理及左序性
4区 数学
Geometriae Dedicata Pub Date : 2023-11-07 DOI: 10.1007/s10711-023-00857-0
Swarup Bhowmik, Prateep Chakraborty
{"title":"A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line","authors":"Swarup Bhowmik, Prateep Chakraborty","doi":"10.1007/s10711-023-00857-0","DOIUrl":"https://doi.org/10.1007/s10711-023-00857-0","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"3 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135476181","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
Orthogonal ring patterns in the plane 平面上的正交环形图案
4区 数学
Geometriae Dedicata Pub Date : 2023-11-03 DOI: 10.1007/s10711-023-00859-y
Alexander I. Bobenko, Tim Hoffmann, Thilo Rörig
{"title":"Orthogonal ring patterns in the plane","authors":"Alexander I. Bobenko, Tim Hoffmann, Thilo Rörig","doi":"10.1007/s10711-023-00859-y","DOIUrl":"https://doi.org/10.1007/s10711-023-00859-y","url":null,"abstract":"Abstract We introduce orthogonal ring patterns consisting of pairs of concentric circles generalizing circle patterns. We show that orthogonal ring patterns are governed by the same equation as circle patterns. For every ring pattern there exists a one parameter family of patterns that interpolates between a circle pattern and its dual. We construct ring patterns analogues of the Doyle spiral, Erf and $$z^alpha $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>z</mml:mi> <mml:mi>α</mml:mi> </mml:msup> </mml:math> functions. We also derive a variational principle and compute ring patterns based on Dirichlet and Neumann boundary conditions.","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"39 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135868457","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
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
{"title":"A natural compactification of the Gromov–Hausdorff space","authors":"Hiroki Nakajima, Takashi Shioya","doi":"10.1007/s10711-023-00852-5","DOIUrl":"https://doi.org/10.1007/s10711-023-00852-5","url":null,"abstract":"","PeriodicalId":55103,"journal":{"name":"Geometriae Dedicata","volume":"17 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135874755","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
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":"62 ","pages":"0"},"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":"147 ","pages":"0"},"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":"1 8","pages":"0"},"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":"64 18","pages":"0"},"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":"2016 7","pages":"0"},"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":"34 3","pages":"0"},"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":"1 1","pages":"0"},"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
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