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Milan Journal of Mathematics最新文献

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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
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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":"90 1","pages":"131-175"},"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":"90 2","pages":"403-416"},"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":"90 2","pages":"459-483"},"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":"89 1","pages":"523 - 550"},"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":"89 1","pages":"413 - 432"},"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":"90 1","pages":"209 - 228"},"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":"89 1","pages":"433 - 452"},"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
Functional Inequalities: Nonlinear Flows and Entropy Methods as a Tool for Obtaining Sharp and Constructive Results 泛函不等式:非线性流和熵方法作为获得尖锐和建设性结果的工具
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-07-17 DOI: 10.1007/s00032-021-00341-y
J. Dolbeault
{"title":"Functional Inequalities: Nonlinear Flows and Entropy Methods as a Tool for Obtaining Sharp and Constructive Results","authors":"J. Dolbeault","doi":"10.1007/s00032-021-00341-y","DOIUrl":"https://doi.org/10.1007/s00032-021-00341-y","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"89 1","pages":"355 - 386"},"PeriodicalIF":1.7,"publicationDate":"2021-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43578111","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: 9
Heegner Points and Exceptional Zeros of Garrett p-Adic L-Functions 加勒特p进l函数的Heegner点与例外零点
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2021-06-08 DOI: 10.1007/s00032-021-00332-z
Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci
{"title":"Heegner Points and Exceptional Zeros of Garrett p-Adic L-Functions","authors":"Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci","doi":"10.1007/s00032-021-00332-z","DOIUrl":"https://doi.org/10.1007/s00032-021-00332-z","url":null,"abstract":"<p>This article proves a case of the <i>p</i>-adic Birch and Swinnerton–Dyer conjecture for Garrett <i>p</i>-adic <i>L</i>-functions of (Bertolini et al. in On <i>p</i>-adic analogues of the Birch and Swinnerton–Dyer conjecture for Garrett <i>L</i>-functions, 2021), in the imaginary dihedral exceptional zero setting of extended analytic rank 4.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":"3 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516917","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: 1
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