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Milan Journal of Mathematics最新文献

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Regularity of Normal Forms on Parameters 参数范式的正则性
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-01-16 DOI: 10.1007/s00032-021-00347-6
L. Barreira, C. Valls
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引用次数: 1
Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra. 通过 LLV 代数衍生出的超凯勒流形类别。
IF 1.2 3区 数学
Milan Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2022-06-21 DOI: 10.1007/s00032-022-00358-x
T Beckmann
{"title":"Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra.","authors":"T Beckmann","doi":"10.1007/s00032-022-00358-x","DOIUrl":"10.1007/s00032-022-00358-x","url":null,"abstract":"<p><p>We mostly review work of Taelman (Derived equivalences of hyperkähler varieties, 2019, arXiv:1906.08081) on derived categories of hyper-Kähler manifolds. We study the LLV algebra using polyvector fields to prove that it is a derived invariant. Applications to the action of derived equivalences on cohomology and to the study of their Hodge structures are given.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9708817/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"35254891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. Hyper-Kähler广义Kummer型流形与Kuga-Satake对应。
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2022-10-19 DOI: 10.1007/s00032-022-00369-8
M Varesco, C Voisin
{"title":"Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence.","authors":"M Varesco,&nbsp;C Voisin","doi":"10.1007/s00032-022-00369-8","DOIUrl":"https://doi.org/10.1007/s00032-022-00369-8","url":null,"abstract":"<p><p>We first describe the construction of the Kuga-Satake variety associated to a (polarized) weight-two Hodge structure of hyper-Kähler type. We describe the classical cases where the Kuga-Satake correspondence between a hyper-Kähler manifold and its Kuga-Satake variety has been proved to be algebraic. We then turn to recent work of O'Grady and Markman which we combine to prove that the Kuga-Satake correspondence is algebraic for projective hyper-Kähler manifolds of generalized Kummer deformation type.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9708794/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"35254892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Tilings with Nonflat Squares: A Characterization. 非扁平正方形平顶：特征描述
IF 1.2 3区 数学
Milan Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2022-03-24 DOI: 10.1007/s00032-022-00350-5
Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli
{"title":"Tilings with Nonflat Squares: A Characterization.","authors":"Manuel Friedrich, Manuel Seitz, Ulisse Stefanelli","doi":"10.1007/s00032-022-00350-5","DOIUrl":"10.1007/s00032-022-00350-5","url":null,"abstract":"<p><p>Inspired by the modelization of 2D materials systems, we characterize arrangements of identical nonflat squares in 3D. We prove that the fine geometry of such arrangements is completely characterized in terms of patterns of mutual orientations of the squares and that these patterns are periodic and one-dimensional. In contrast to the flat case, the nonflatness of the tiles gives rise to nontrivial geometries, with configurations bending, wrinkling, or even rolling up in one direction.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9242529/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40468789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. Looijenga-Lunts-Verbitsky 代数和 Verbitsky 定理。
IF 1.2 3区 数学
Milan Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2022-10-03 DOI: 10.1007/s00032-022-00364-z
Alessio Bottini
{"title":"The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem.","authors":"Alessio Bottini","doi":"10.1007/s00032-022-00364-z","DOIUrl":"10.1007/s00032-022-00364-z","url":null,"abstract":"<p><p>In these notes we review some basic facts about the LLV Lie algebra. It is a rational Lie algebra, introduced by Looijenga-Lunts and Verbitsky, acting on the rational cohomology of a compact Kähler manifold. We study its structure and describe one irreducible component of the rational cohomology in the case of a compact hyperkähler manifold.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9708818/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"35254894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lagrangian Fibrations. 拉格朗日纤维化。
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2022-03-19 DOI: 10.1007/s00032-022-00349-y
D Huybrechts, M Mauri
{"title":"Lagrangian Fibrations.","authors":"D Huybrechts,&nbsp;M Mauri","doi":"10.1007/s00032-022-00349-y","DOIUrl":"https://doi.org/10.1007/s00032-022-00349-y","url":null,"abstract":"<p><p>We review the theory of Lagrangian fibrations of hyperkähler manifolds as initiated by Matsushita. We also discuss more recent work of Shen-Yin and Harder-Li-Shen-Yin. Occasionally, we give alternative arguments and complement the discussion by additional observations.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9708819/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"35254893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
An Existence Result for a Class of Magnetic Problems in Exterior Domains 一类外域磁问题的存在性结果
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-12-01 DOI: 10.1007/s00032-021-00340-z
C. O. Alves, V. Ambrosio, C. Ledesma
{"title":"An Existence Result for a Class of Magnetic Problems in Exterior Domains","authors":"C. O. Alves, V. Ambrosio, C. Ledesma","doi":"10.1007/s00032-021-00340-z","DOIUrl":"https://doi.org/10.1007/s00032-021-00340-z","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43894024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Second Order Regularity for a Linear Elliptic System Having BMO Coefficients 具有BMO系数的线性椭圆系统的二阶正则性
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-11-16 DOI: 10.1007/s00032-021-00345-8
G. Moscariello, Giulio Pascale
{"title":"Second Order Regularity for a Linear Elliptic System Having BMO Coefficients","authors":"G. Moscariello, Giulio Pascale","doi":"10.1007/s00032-021-00345-8","DOIUrl":"https://doi.org/10.1007/s00032-021-00345-8","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47549578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Infinitesimal Variation Functions for Families of Smooth Varieties 光滑品种族的无穷小变异函数
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-08-04 DOI: 10.1007/s00032-022-00353-2
F. F. Favale, G. Pirola
{"title":"Infinitesimal Variation Functions for Families of Smooth Varieties","authors":"F. F. Favale, G. Pirola","doi":"10.1007/s00032-022-00353-2","DOIUrl":"https://doi.org/10.1007/s00032-022-00353-2","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48727319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Projective Properties of Divergence-Free Symmetric Tensors, and New Dispersive Estimates in Gas Dynamics 无散度对称张量的射影性质及气体动力学中新的色散估计
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-08-02 DOI: 10.1007/s00032-021-00342-x
D. Serre
{"title":"Projective Properties of Divergence-Free Symmetric Tensors, and New Dispersive Estimates in Gas Dynamics","authors":"D. Serre","doi":"10.1007/s00032-021-00342-x","DOIUrl":"https://doi.org/10.1007/s00032-021-00342-x","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45119442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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