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
Special termination for log canonical pairs 对数正则对的特殊终止
4区 数学
Asian Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.4310/ajm.2023.v27.n3.a5
Vladimir Lazić, Joaquín Moraga, Nikolaos Tsakanikas
{"title":"Special termination for log canonical pairs","authors":"Vladimir Lazić, Joaquín Moraga, Nikolaos Tsakanikas","doi":"10.4310/ajm.2023.v27.n3.a5","DOIUrl":"https://doi.org/10.4310/ajm.2023.v27.n3.a5","url":null,"abstract":"We prove the special termination for log canonical pairs and its generalisation in the context of generalised pairs.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136008746","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: 9
On $pi$-divisible $mathcal{O}$-modules over fields of characteristic $p$ 关于$pi$-可除$mathcal{O}$-特征$p$的域上的模块
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.4310/ajm.2023.v27.n1.a1
Chuangxun Cheng
{"title":"On $pi$-divisible $mathcal{O}$-modules over fields of characteristic $p$","authors":"Chuangxun Cheng","doi":"10.4310/ajm.2023.v27.n1.a1","DOIUrl":"https://doi.org/10.4310/ajm.2023.v27.n1.a1","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392032","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
Explicit description of generalized weight modules of the algebra of polynomial integro-differential operators $mathbb{I}_n$ 多项式积分微分算子代数的广义权模的显式描述$mathbb{I}_n$
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-07-06 DOI: 10.4310/ajm.2021.v25.n5.a6
V. V. Bavula, V. Bekkert, V. Futorny
{"title":"Explicit description of generalized weight modules of the algebra of polynomial integro-differential operators $mathbb{I}_n$","authors":"V. V. Bavula, V. Bekkert, V. Futorny","doi":"10.4310/ajm.2021.v25.n5.a6","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n5.a6","url":null,"abstract":"For the algebra $mathbb{I}_n = K {langle x_1, dotsc, x_n, partial_1, dotsc, partial_n, int_1, dotsc, int_n rangle}$ of polynomial integrodifferential operators over a field $K$ of characteristic zero, a classification of simple weight and generalized weight (left and right) $mathbb{I}_n$‑modules is given. It is proven that the category of weight $mathbb{I}_n$‑modules is semisimple. An explicit description of generalized weight $mathbb{I}_n$‑modules is given and using it a criterion is obtained for the problem of classification of indecomposable generalized weight $mathbb{I}_n$‑modules to be of finite representation type, tame or wild. In the tame case, a classification of indecomposable generalized weight $mathbb{I}_n$‑modules is given. In the wild case ‘natural‘ tame subcategories are considered with explicit description of indecomposable modules. For an arbitrary ring $R$, we introduce the concept of <i>absolutely prime</i> $R$‑module (a nonzero $R$‑module $M$ is absolutely prime if all nonzero subfactors of $M$ have the same annihilator). It is proven that every generalized weight $mathbb{I}_n$‑module is a unique sum of absolutely prime modules. It is also shown that every indecomposable generalized weight $mathbb{I}_n$‑module is equidimensional. A criterion is given for a generalized weight $mathbb{I}_n$‑module to be finitely generated.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138538226","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
Hodge filtration and Hodge ideals for $mathbb{Q}$-divisors with weighted homogeneous isolated singularities or convenient non-degenerate singularities 具有加权齐次孤立奇点或方便非退化奇点的$mathbb{Q}$-除数的Hodge滤波和Hodge理想
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-07-06 DOI: 10.4310/ajm.2021.v25.n5.a2
Mingyi Zhang
{"title":"Hodge filtration and Hodge ideals for $mathbb{Q}$-divisors with weighted homogeneous isolated singularities or convenient non-degenerate singularities","authors":"Mingyi Zhang","doi":"10.4310/ajm.2021.v25.n5.a2","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n5.a2","url":null,"abstract":"We give an explicit formula for the Hodge filtration on the $mathscr{D}_X$-module $mathcal{O}_X (*Z) f^{1-alpha}$ associated to the effective $mathbb{Q}$-divisor $D = alpha cdot Z$, where $0 lt alpha leq 1$ and $Z = (f = 0)$ is an irreducible hypersurface defined by $f$, a weighted homogeneous polynomial with an isolated singularity at the origin. In particular this gives a formula for the Hodge ideals of $D$. We deduce a formula for the generating level of the Hodge filtration, as well as further properties of Hodge ideals in this setting. We also extend the main theorem to the case when $f$ is a germ of holomorphic function that is convenient and has non-degenerate Newton boundary.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138538191","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
Finsler perturbation with nondense geodesics with irrational directions 具有非理性方向的非密集测地线的芬斯勒摄动
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-07-06 DOI: 10.4310/ajm.2021.v25.n5.a5
Dmitri Burago, Dong Chen
{"title":"Finsler perturbation with nondense geodesics with irrational directions","authors":"Dmitri Burago, Dong Chen","doi":"10.4310/ajm.2021.v25.n5.a5","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n5.a5","url":null,"abstract":"We show that given any Liouville direction and flat Finsler torus, one can make a $C^infty$‑small perturbation on an arbitrarily small disc to get a nondense geodesic in the given direction.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138538202","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 new proof for global rigidity of vertex scaling on polyhedral surfaces 多面体曲面上顶点缩放全局刚度的一个新证明
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-04-18 DOI: 10.4310/ajm.2021.v25.n6.a5
Xu Xu, Chao Zheng
{"title":"A new proof for global rigidity of vertex scaling on polyhedral surfaces","authors":"Xu Xu, Chao Zheng","doi":"10.4310/ajm.2021.v25.n6.a5","DOIUrl":"https://doi.org/10.4310/ajm.2021.v25.n6.a5","url":null,"abstract":"The vertex scaling for piecewise linear metrics on polyhedral surfaces was introduced by Luo [18], who proved the local rigidity by establishing a variational principle and conjectured the global rigidity. Luo’s conjecture was solved by Bobenko-Pinkall-Springborn [3], who also introduced the vertex scaling for piecewise hyperbolic metrics and proved its global rigidity. Bobenko-Pinkall-Spingborn’s proof is based on their observation of the connection of vertex scaling and the geometry of polyhedra in 3-dimensional hyperbolic space and the concavity of the volume of ideal and hyper-ideal tetrahedra. In this paper, we give an elementary and short variational proof of the global rigidity of vertex scaling without involving 3-dimensional hyperbolic geometry. The method is based on continuity of eigenvalues of matrices and the extension of convex functions.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47416504","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: 8
Parabolic Higgs bundles, $tt^ast$ connections and opers 抛物希格斯束，$tt^ast$连接和其它
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.4310/ajm.2022.v26.n4.a1
M. Alim, Florian Beck, Laura Fredrickson
{"title":"Parabolic Higgs bundles, $tt^ast$ connections and opers","authors":"M. Alim, Florian Beck, Laura Fredrickson","doi":"10.4310/ajm.2022.v26.n4.a1","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n4.a1","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70391965","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
On the Iwasawa invariants of non-cotorsion Selmer groups 关于非扭转Selmer群的Iwasawa不变量
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.4310/ajm.2022.v26.n3.a2
Sören Kleine
{"title":"On the Iwasawa invariants of non-cotorsion Selmer groups","authors":"Sören Kleine","doi":"10.4310/ajm.2022.v26.n3.a2","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n3.a2","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70391952","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
Contact of circles with surfaces: Answers to a question of Montaldi 圆与表面的接触:蒙塔尔第问题的回答
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.4310/ajm.2022.v26.n5.a1
P. Giblin, Graham M. Reeve
{"title":"Contact of circles with surfaces: Answers to a question of Montaldi","authors":"P. Giblin, Graham M. Reeve","doi":"10.4310/ajm.2022.v26.n5.a1","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n5.a1","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392021","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
Obstructions to representations up to homotopy and ideals 阻碍表征直至同伦和理想
IF 0.6 4区 数学
Asian Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.4310/ajm.2022.v26.n2.a1
M. Jotz
{"title":"Obstructions to representations up to homotopy and ideals","authors":"M. Jotz","doi":"10.4310/ajm.2022.v26.n2.a1","DOIUrl":"https://doi.org/10.4310/ajm.2022.v26.n2.a1","url":null,"abstract":"","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392338","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
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