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Fujita Type Results for a Parabolic Differential Inequality with Weighted Nonlocal Source 一类加权非局部源抛物型微分不等式的Fujita型结果
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2023-01-01 DOI: 10.17323/1609-4514-2023-23-2-243-270
Yuepeng Li, Z. Fang
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引用次数: 0
Complements of Discriminants of Real Parabolic Function Singularities 实抛物函数奇异性判别式的补
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-08-23 DOI: 10.17323/1609-4514-2023-23-3-401-432
V. Vassiliev
{"title":"Complements of Discriminants of Real Parabolic Function Singularities","authors":"V. Vassiliev","doi":"10.17323/1609-4514-2023-23-3-401-432","DOIUrl":"https://doi.org/10.17323/1609-4514-2023-23-3-401-432","url":null,"abstract":"A (conjecturally complete) list of components of complements of discriminant varieties of parabolic singularities of smooth real functions is given. We also promote a combinatorial program that enumerates possible topological types of non-discriminant morsifications of isolated real function singularities and provides a strong invariant of components of complements of discriminant varieties.","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49605059","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
A Formula For the Gromov-Witten Potential of an Elliptic Curve 椭圆曲线Gromov-Witten势的一个公式
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-05-25 DOI: 10.17323/1609-4514-2023-23-3-309-317
A. Buryak
{"title":"A Formula For the Gromov-Witten Potential of an Elliptic Curve","authors":"A. Buryak","doi":"10.17323/1609-4514-2023-23-3-309-317","DOIUrl":"https://doi.org/10.17323/1609-4514-2023-23-3-309-317","url":null,"abstract":"An algorithm to determine all the Gromov-Witten invariants of any smooth projective curve was obtained by Okounkov and Pandharipande in 2006. They identified stationary invariants with certain Hurwitz numbers and then presented Virasoro type constraints that allow to determine all the other Gromov-Witten invariants in terms of the stationary ones. In the case of an elliptic curve, we show that these Virasoro type constraints can be explicitly solved leading to a very explicit formula for the full Gromov-Witten potential in terms of the stationary invariants.","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47840053","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
Parameterizing and Inverting Analytic Mappings with Unit Jacobian 单位雅可比矩阵解析映射的参数化与反演
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-02 DOI: 10.17323/1609-4514-2023-23-3-369-400
T. Sadykov
{"title":"Parameterizing and Inverting Analytic Mappings with Unit Jacobian","authors":"T. Sadykov","doi":"10.17323/1609-4514-2023-23-3-369-400","DOIUrl":"https://doi.org/10.17323/1609-4514-2023-23-3-369-400","url":null,"abstract":"Let $x=(x_1,ldots,x_n)in {rm bf C}^n$ be a vector of complex variables, denote by $A=(a_{jk})$ a square matrix of size $ngeq 2,$ and let $varphiinmathcal{O}(Omega)$ be an analytic function defined in a nonempty domain $Omegasubset {rm bf C}.$ We investigate the family of mappings $$ f=(f_1,ldots,f_n):{rm bf C}^nrightarrow {rm bf C}^n, quad f[A,varphi](x):=x+varphi(Ax) $$ with the coordinates $$ f_j : x mapsto x_j + varphileft(sumlimits_{k=1}^n a_{jk}x_kright), quad j=1,ldots,n $$ whose Jacobian is identically equal to a nonzero constant for any $x$ such that all of $f_j$ are well-defined. Let $U$ be a square matrix such that the Jacobian of the mapping $f[U,varphi](x)$ is a nonzero constant for any $x$ and moreover for any analytic function $varphiinmathcal{O}(Omega).$ We show that any such matrix $U$ is uniquely defined, up to a suitable permutation similarity of matrices, by a partition of the dimension $n$ into a sum of $m$ positive integers together with a permutation on $m$ elements. For any $d=2,3,ldots$ we construct $n$-parametric family of square matrices $H(s), sin {rm bf C}^n$ such that for any matrix $U$ as above the mapping $x+left((Uodot H(s))xright)^d$ defined by the Hadamard product $Uodot H(s)$ has unit Jacobian. We prove any such mapping to be polynomially invertible and provide an explicit recursive formula for its inverse.","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48666919","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 Lions Type Result for a Large Class of Orlicz–Sobolev Space and Applications 一类大型Orlicz-Sobolev空间的Lions型结果及其应用
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-01 DOI: 10.17323/1609-4514-2022-22-3-401-426
C. O. Alves, M. Carvalho
{"title":"A Lions Type Result for a Large Class of Orlicz–Sobolev Space and Applications","authors":"C. O. Alves, M. Carvalho","doi":"10.17323/1609-4514-2022-22-3-401-426","DOIUrl":"https://doi.org/10.17323/1609-4514-2022-22-3-401-426","url":null,"abstract":"","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67826894","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: 7
On Universal Norm Elements and a Problem of Coleman 论普遍范数元素与科尔曼问题
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-01 DOI: 10.17323/1609-4514-2022-22-1-121-132
S. Seo
{"title":"On Universal Norm Elements and a Problem of Coleman","authors":"S. Seo","doi":"10.17323/1609-4514-2022-22-1-121-132","DOIUrl":"https://doi.org/10.17323/1609-4514-2022-22-1-121-132","url":null,"abstract":"","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67827311","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
Newton Non-Degenerate Foliations on Projective Toric Surfaces 投影环面上的牛顿非简并叶
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-01 DOI: 10.17323/1609-4514-2022-22-3-493-520
B. Molina-Samper
{"title":"Newton Non-Degenerate Foliations on Projective Toric Surfaces","authors":"B. Molina-Samper","doi":"10.17323/1609-4514-2022-22-3-493-520","DOIUrl":"https://doi.org/10.17323/1609-4514-2022-22-3-493-520","url":null,"abstract":"","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67827041","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
Combinatorial Monomialization for Generalized Real Analytic Functions in Three Variables 三变量广义实解析函数的组合一元化
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-01 DOI: 10.17323/1609-4514-2022-22-3-521-560
Jesús Palma-Márquez
{"title":"Combinatorial Monomialization for Generalized Real Analytic Functions in Three Variables","authors":"Jesús Palma-Márquez","doi":"10.17323/1609-4514-2022-22-3-521-560","DOIUrl":"https://doi.org/10.17323/1609-4514-2022-22-3-521-560","url":null,"abstract":"","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67827172","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
Erratum: An Analogue of the Brauer–Siegel Theorem for Abelian Varieties in Positive Characteristic 勘误:正特征阿贝尔变的Brauer-Siegel定理的一个类似
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-01 DOI: 10.17323/1609-4514-2022-22-1-169-169
M. Hindry, A. Pacheco
{"title":"Erratum: An Analogue of the Brauer–Siegel Theorem for Abelian Varieties in Positive Characteristic","authors":"M. Hindry, A. Pacheco","doi":"10.17323/1609-4514-2022-22-1-169-169","DOIUrl":"https://doi.org/10.17323/1609-4514-2022-22-1-169-169","url":null,"abstract":"","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67827378","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 Cone of Effective Surfaces on A 3 a3上有效面锥的研究
IF 0.8 4区 数学
Moscow Mathematical Journal Pub Date : 2022-01-01 DOI: 10.17323/1609-4514-2022-22-4-657-703
S. Grushevsky, K. Hulek
{"title":"On the Cone of Effective Surfaces on A 3","authors":"S. Grushevsky, K. Hulek","doi":"10.17323/1609-4514-2022-22-4-657-703","DOIUrl":"https://doi.org/10.17323/1609-4514-2022-22-4-657-703","url":null,"abstract":"","PeriodicalId":54736,"journal":{"name":"Moscow Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67827348","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
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