发布求助
文献互助 智能选刊 最新文献

Asian Journal of Mathematics最新文献

筛选
英文 中文
Poisson wave trace formula for Dirac resonances at spectrum edges and applications 谱边狄拉克共振的泊松波迹公式及其应用
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.4310/ajm.2021.v25.n2.a5
B. Cheng, M. Melgaard
{"title":"Poisson wave trace formula for Dirac resonances at spectrum edges and applications","authors":"B. Cheng, M. Melgaard","doi":"10.4310/ajm.2021.v25.n2.a5","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n2.a5","url":null,"abstract":"We study the self-adjoint Dirac operators D = D0 + V (x), where D0 is the free three-dimensional Dirac operator and V (x) is a smooth compactly supported Hermitian matrix potential. We define resonances of D as poles of the meromorphic continuation of its cut-off resolvent. By analyzing the resolvent behaviour at the spectrum edges ±m, we establish a generalized Birman-Krein formula, taking into account possible resonances at ±m. As an application of the new Birman-Krein formula we establish the Poisson wave trace formula in its full generality. The Poisson wave trace formula links the resonances with the trace of the difference of the wave groups. The Poisson wave trace formula, in conjunction with asymptotics of the scattering phase, allows us to prove that, under certain natural assumptions on V , the perturbed Dirac operator has infinitely many resonances; a result similar in nature to Melrose’s classic 1995 result for Schr¨odinger operators.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392222","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
Quasi-unipotent motives and motivic nearby sheaves 准单能动机和动机附近的轴
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.4310/ajm.2021.v25.n1.a6
F. Ivorra, J. Sebag
{"title":"Quasi-unipotent motives and motivic nearby sheaves","authors":"F. Ivorra, J. Sebag","doi":"10.4310/ajm.2021.v25.n1.a6","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n1.a6","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70391903","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
Area of minimal hypersurfaces in the unit sphere 单位球面上最小超曲面的面积
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.4310/ajm.2021.v25.n2.a2
Q. Cheng, G. Wei, Yuting Zeng
{"title":"Area of minimal hypersurfaces in the unit sphere","authors":"Q. Cheng, G. Wei, Yuting Zeng","doi":"10.4310/ajm.2021.v25.n2.a2","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n2.a2","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70391926","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: 3
Global pinching theorems for minimal submanifolds in a complex projective space 复射影空间中极小子流形的全局捏缩定理
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.4310/ajm.2021.v25.n2.a6
Dong Pu, Hong-wei Xu
{"title":"Global pinching theorems for minimal submanifolds in a complex projective space","authors":"Dong Pu, Hong-wei Xu","doi":"10.4310/ajm.2021.v25.n2.a6","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n2.a6","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392240","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
Convergence of Narasimhan–Simha measures on degenerating families of Riemann surfaces Riemann曲面退化族上Narasimhan-Simha测度的收敛性
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2020-11-30 DOI: 10.4310/ajm.2022.v26.n5.a3
S. Shivaprasad
{"title":"Convergence of Narasimhan–Simha measures on degenerating families of Riemann surfaces","authors":"S. Shivaprasad","doi":"10.4310/ajm.2022.v26.n5.a3","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n5.a3","url":null,"abstract":"Given a compact Riemann surface $Y$ and a positive integer $m$, Narasimhan and Simha defined a measure on $Y$ associated to the $m$-th tensor power of the canonical line bundle. We study the limit of this measure on holomorphic families of Riemann surfaces with semistable reduction. The convergence takes place on a hybrid space whose central fiber is the associated metrized curve complex in the sense of Amini and Baker. We also study the limit of the measure induced by the Hermitian pairing defined by the Narasimhan-Simha measure. For $m = 1$, both these measures coincide with the Bergman measure on $Y$. We also extend the definition of the Narasimhan-Simha measure to the singular curves on the boundary of $overline{mathcal{M}_g}$ in such a way that these measures form a continuous family of measures on the universal curve over $overline{mathcal{M}_g}$.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48147817","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: 3
Invariance of plurigenera and Chow-type lemma 多属和chow型引理的不变性
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2020-11-06 DOI: 10.4310/ajm.2022.v26.n4.a2
S. Rao, I. Tsai
{"title":"Invariance of plurigenera and Chow-type lemma","authors":"S. Rao, I. Tsai","doi":"10.4310/ajm.2022.v26.n4.a2","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n4.a2","url":null,"abstract":"This paper answers a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera affirmatively, and proves this more generally for a flat family of varieties with only canonical singularities and uncountable ones therein being of general type and also two Chow-type lemmata on the structure of a family of projective complex analytic spaces.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45150576","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
Topological convexity in complex surfaces 复杂曲面的拓扑凸性
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2020-10-10 DOI: 10.4310/ajm.2022.v26.n5.a6
Robert E. Gompf
{"title":"Topological convexity in complex surfaces","authors":"Robert E. Gompf","doi":"10.4310/ajm.2022.v26.n5.a6","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n5.a6","url":null,"abstract":"We study a notion of strict pseudoconvexity in the context of topologically (often unsmoothably) embedded 3-manifolds in complex surfaces. Topologically pseudoconvex (TPC) 3-manifolds behave similarly to their smooth analogues, cutting out open domains of holomorphy (Stein surfaces), but they are much more common. We provide tools for constructing TPC embeddings, and show that every closed, oriented 3-manifold M has a TPC embedding in a compact, complex surface (without boundary) realizing any homotopy class of almost-complex structures (the analogue of the homotopy class of the contact plane field in the smooth case). We prove our tool theorems with invariants that classify almost-complex structures on any 4-manifold homotopy equivalent to M. These invariants are amenable to computation and respected by homeomorphisms (not necessarily smooth). We study the two equivalence classes of smoothings on the product of a 3-manifold with a line, and on collared ends. Both classes of smoothings are realized by holomorphic embeddings exhibiting any preassigned homotopy class of almost-complex structures. One class arises from TPC embedded 3-manifolds, while the other likely does not.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48062904","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
The deformed Hermitian–Yang–Mills equation on the blowup of $mathbb{P}^n$ 关于$mathbb{P}^n$膨胀的变形Hermitian-Yang-Mills方程
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2020-09-01 DOI: 10.4310/ajm.2022.v26.n6.a4
Adam Jacob, Norman Sheu
{"title":"The deformed Hermitian–Yang–Mills equation on the blowup of $mathbb{P}^n$","authors":"Adam Jacob, Norman Sheu","doi":"10.4310/ajm.2022.v26.n6.a4","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n6.a4","url":null,"abstract":"We study the deformed Hermitian-Yang-Mills equation on the blowup of complex projective space. Using symmetry, we express the equation as an ODE which can be solved using combinatorial methods if an algebraic stability condition is satisfied. This gives evidence towards a conjecture of the first author, T.C. Collins, and S.-T. Yau on general compact Kahler manifolds.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41717607","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
Twisting lemma for $lambda$-adic modules $lambda$-adic模块的扭曲引理
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2020-08-21 DOI: 10.4310/ajm.2021.v25.n4.a5
S. Ghosh, Somnath Jha, Sudhanshu Shekhar
{"title":"Twisting lemma for $lambda$-adic modules","authors":"S. Ghosh, Somnath Jha, Sudhanshu Shekhar","doi":"10.4310/ajm.2021.v25.n4.a5","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n4.a5","url":null,"abstract":"A classical twisting lemma says that given a finitely generated torsion module $M$ over the Iwasawa algebra $mathbb{Z}_p[[Gamma ]]$ with $Gamma cong mathbb{Z}_p, exists$ a continuous character $theta: Gamma rightarrow mathbb{Z}_p^times$ such that, the $ Gamma^{n}$-Euler characteristic of the twist $M(theta)$ is finite for every $n$. This twisting lemma has been generalized for the Iwasawa algebra of a general compact $p$-adic Lie group $G$. In this article, we consider a further generalization of the twisting lemma to $mathcal{T}[[G]]$ modules, where $G$ is a compact $p$-adic Lie group and $mathcal{T}$ is a finite extension of $mathbb{Z}_p[[X]]$. Such modules naturally occur in Hida theory. We also indicate arithmetic application by considering the twisted Euler Characteristic of the big Selmer (respectively fine Selmer) group of a $Lambda$-adic form over a $p$-adic Lie extension.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48666783","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
Nevanlinna-type theory based on heat diffusion 基于热扩散的Nevanlinna型理论
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2020-06-05 DOI: 10.4310/ajm.2023.v27.n1.a3
Xianjing Dong
{"title":"Nevanlinna-type theory based on heat diffusion","authors":"Xianjing Dong","doi":"10.4310/ajm.2023.v27.n1.a3","DOIUrl":"https://doi.org/10.4310/ajm.2023.v27.n1.a3","url":null,"abstract":"We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\"ahler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42537439","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信