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New proof for the regularity of Monge–Ampère type equations 蒙日-安培尔型方程正则性的新证明
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-11-01 DOI: 10.4310/jdg/1606964417
Xu-jia Wang, Yating Wu
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引用次数: 5
The $L_p$ Minkowski problem for the electrostatic $mathfrak{p}$-capacity 静电$mathfrak{p}$-容量的$L_p$ Minkowski问题
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-11-01 DOI: 10.4310/jdg/1606964418
Zou Du, Xiong Ge
{"title":"The $L_p$ Minkowski problem for the electrostatic $mathfrak{p}$-capacity","authors":"Zou Du, Xiong Ge","doi":"10.4310/jdg/1606964418","DOIUrl":"https://doi.org/10.4310/jdg/1606964418","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":"116 1","pages":"555-596"},"PeriodicalIF":2.5,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46870650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Space of Ricci flows (II)—Part B: Weak compactness of the flows Ricci流的空间（II）——B部分：流的弱紧性
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-09-01 DOI: 10.4310/jdg/1599271253
Xiuxiong Chen, Bing Wang
{"title":"Space of Ricci flows (II)—Part B: Weak compactness of the flows","authors":"Xiuxiong Chen, Bing Wang","doi":"10.4310/jdg/1599271253","DOIUrl":"https://doi.org/10.4310/jdg/1599271253","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":"116 1","pages":"1-123"},"PeriodicalIF":2.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48727375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 38
Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions 已解的共褶配分函数和非微扰配分函数的Riemann-Hilbert问题
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-07-01 DOI: 10.4310/jdg/1594260015
T. Bridgeland
{"title":"Riemann–Hilbert problems for the resolved conifold and non-perturbative partition functions","authors":"T. Bridgeland","doi":"10.4310/jdg/1594260015","DOIUrl":"https://doi.org/10.4310/jdg/1594260015","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":"115 1","pages":"395-435"},"PeriodicalIF":2.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48491802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 14
Index to Volume 115 第115卷索引
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-07-01 DOI: 10.4310/jdg/1594260020
{"title":"Index to Volume 115","authors":"","doi":"10.4310/jdg/1594260020","DOIUrl":"https://doi.org/10.4310/jdg/1594260020","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":" ","pages":""},"PeriodicalIF":2.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47177873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities 复结构的变分与李代数的变分II:由奇点产生的新李代数
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-07-01 DOI: 10.4310/jdg/1594260016
Bingyi Chen, Naveed Hussain, S. Yau, Huaiqing Zuo
{"title":"Variation of complex structures and variation of Lie algebras II: new Lie algebras arising from singularities","authors":"Bingyi Chen, Naveed Hussain, S. Yau, Huaiqing Zuo","doi":"10.4310/jdg/1594260016","DOIUrl":"https://doi.org/10.4310/jdg/1594260016","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":"115 1","pages":"437-473"},"PeriodicalIF":2.5,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41773131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 24
The dilogarithm and abelian Chern–Simons 二重数与阿贝尔陈-西蒙斯
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-06-22 DOI: 10.4310/jdg/1680883577
D. Freed, A. Neitzke
{"title":"The dilogarithm and abelian Chern–Simons","authors":"D. Freed, A. Neitzke","doi":"10.4310/jdg/1680883577","DOIUrl":"https://doi.org/10.4310/jdg/1680883577","url":null,"abstract":"We construct the (enhanced Rogers) dilogarithm function from the spin Chern-Simons invariant of C*-connections. This leads to geometric proofs of basic dilogarithm identities and a geometric context for other properties, such as the branching structure.","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":" ","pages":""},"PeriodicalIF":2.5,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46061039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
The nonexistence of negative weight derivations on positive dimensional isolated singularities: Generalized Wahl conjecture 正维孤立奇点上负权导数的不存在性:广义Wahl猜想
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-06-01 DOI: 10.4310/jdg/1589853625
Bingyi Chen, Hao Chen, S. Yau, Huaiqing Zuo
{"title":"The nonexistence of negative weight derivations on positive dimensional isolated singularities: Generalized Wahl conjecture","authors":"Bingyi Chen, Hao Chen, S. Yau, Huaiqing Zuo","doi":"10.4310/jdg/1589853625","DOIUrl":"https://doi.org/10.4310/jdg/1589853625","url":null,"abstract":"","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":"115 1","pages":"195-224"},"PeriodicalIF":2.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47997172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 21
Expanding Kähler–Ricci solitons coming out of Kähler cones 膨胀的Kähler-Ricci孤子从Kähler锥体中出来
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-06-01 DOI: 10.4310/jdg/1589853627
Ronan J. Conlon, Alix Deruelle
{"title":"Expanding Kähler–Ricci solitons coming out of Kähler cones","authors":"Ronan J. Conlon, Alix Deruelle","doi":"10.4310/jdg/1589853627","DOIUrl":"https://doi.org/10.4310/jdg/1589853627","url":null,"abstract":"We give necessary and sufficient conditions for a Kähler equivariant resolution of a Kähler cone, with the resolution satisfying one of a number of auxiliary conditions, to admit a unique asymptotically conical (AC) expanding gradient Kähler-Ricci soliton. In particular, it follows that for any n ∈ N0 and for L a negative line bundle over a compact Kähler manifold D, the total space of the vector bundle L⊕(n+1) admits a unique AC expanding gradient Kähler-Ricci soliton with soliton vector field a positive multiple of the Euler vector field if and only if c1(KD⊗(L)) > 0. This generalises the examples already known in the literature. We further prove a general uniqueness result and show that the space of certain AC expanding gradient Kähler-Ricci solitons on C with positive curvature operator on (1, 1)-forms is path-connected.","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":" ","pages":""},"PeriodicalIF":2.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47952089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 17
Morse inequalities for the area functional 区域泛函的Morse不等式
IF 2.5 1区 数学
Journal of Differential Geometry Pub Date : 2020-03-03 DOI: 10.4310/jdg/1685121320
F. C. Marques, Rafael Montezuma, A. Neves
{"title":"Morse inequalities for the area functional","authors":"F. C. Marques, Rafael Montezuma, A. Neves","doi":"10.4310/jdg/1685121320","DOIUrl":"https://doi.org/10.4310/jdg/1685121320","url":null,"abstract":"In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies $3 leq (n + 1) leq 7$, in both the closed and the boundary cases.","PeriodicalId":15642,"journal":{"name":"Journal of Differential Geometry","volume":" ","pages":""},"PeriodicalIF":2.5,"publicationDate":"2020-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45701916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 10
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