发布求助
文献互助 智能选刊 最新文献

Publications of the Research Institute for Mathematical Sciences最新文献

筛选
英文 中文
Derived Hom Spaces in Rigid Analytic Geometry 刚性解析几何中的导Hom空间
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-01-23 DOI: 10.4171/prims/57-3-7
Mauro Porta, Tony Yue Yu
{"title":"Derived Hom Spaces in Rigid Analytic Geometry","authors":"Mauro Porta, Tony Yue Yu","doi":"10.4171/prims/57-3-7","DOIUrl":"https://doi.org/10.4171/prims/57-3-7","url":null,"abstract":"We construct a derived enhancement of Hom spaces between rigid analytic spaces. It encodes the hidden deformation-theoretic informations of the underlying classical moduli space. The main tool in our construction is the representability theorem in derived analytic geometry, which has been established in our previous work. The representability theorem provides us sufficient and necessary conditions for an analytic moduli functor to possess the structure of a derived analytic stack. In order to verify the conditions of the representability theorem, we prove several general results in the context of derived non-archimedean analytic geometry: derived Tate acyclicity, projection formula, and proper base change. These results also deserve independent interest themselves. Our main motivation comes from non-archimedean enumerative geometry. In our subsequent works, we will apply the derived mapping stacks to obtain non-archimedean analytic Gromov-Witten invariants.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2018-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47764098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 12
Mather Discrepancy as an Embedding Dimension in the Space of Arcs Mather差作为弧空间中的嵌入维数
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-01-17 DOI: 10.4171/PRIMS/54-1-4
H. Mourtada, Ana J. Reguera
{"title":"Mather Discrepancy as an Embedding Dimension in the Space of Arcs","authors":"H. Mourtada, Ana J. Reguera","doi":"10.4171/PRIMS/54-1-4","DOIUrl":"https://doi.org/10.4171/PRIMS/54-1-4","url":null,"abstract":"Let X be a variety over a field k and let X∞ be its space of arcs. We study the embedding dimension of the completion A^ of the local ring of X∞ at P where P is the stable point defined by a divisorial valuation ν on X. Assuming char k = 0, we prove that the embedding dimension of A^ is equal to k + 1 where k is the Mather discrepancy of X with respect to ν. We also obtain that the dimension of A^ has as lower bound the Mather-Jacobian log-discrepancy of X with respect to ν. For X normal and complete intersection, we prove as a consequence that points P of codimension one in X ∞ have discrepancy k ≤ 0.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2018-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/54-1-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47010888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 11
Almost Sure Well-Posedness of Fractional Schrödinger Equations with Hartree Nonlinearity 具有Hartree非线性的分数阶Schrödinger方程的几乎肯定适定性
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-01-17 DOI: 10.4171/PRIMS/54-1-1
Gyeongha Hwang
{"title":"Almost Sure Well-Posedness of Fractional Schrödinger Equations with Hartree Nonlinearity","authors":"Gyeongha Hwang","doi":"10.4171/PRIMS/54-1-1","DOIUrl":"https://doi.org/10.4171/PRIMS/54-1-1","url":null,"abstract":"","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2018-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/54-1-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43364588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 Quantum Version of the Algebra of Distributions of SL$_2$ SL$_2$分布代数的量子版本
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-01-17 DOI: 10.4171/PRIMS/54-1-5
I. Angiono
{"title":"A Quantum Version of the Algebra of Distributions of SL$_2$","authors":"I. Angiono","doi":"10.4171/PRIMS/54-1-5","DOIUrl":"https://doi.org/10.4171/PRIMS/54-1-5","url":null,"abstract":"Fil: Angiono, Ivan Ezequiel. Universidad Nacional de Cordoba; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Cordoba. Centro de Investigacion y Estudios de Matematica. Universidad Nacional de Cordoba. Centro de Investigacion y Estudios de Matematica; Argentina","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2018-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/54-1-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45880867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Free and Nearly Free Curves vs. Rational Cuspidal Plane Curves 自由和近似自由曲线与有理尖平面曲线
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-01-17 DOI: 10.4171/PRIMS/54-1-6
A. Dimca, Gabriel Sticlaru
{"title":"Free and Nearly Free Curves vs. Rational Cuspidal Plane Curves","authors":"A. Dimca, Gabriel Sticlaru","doi":"10.4171/PRIMS/54-1-6","DOIUrl":"https://doi.org/10.4171/PRIMS/54-1-6","url":null,"abstract":"","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2018-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/54-1-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41648766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 50
Spectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields 具有近周期电磁场的二维泡利算子的谱性质
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-01-04 DOI: 10.4171/PRIMS/55-3-1
J. Bony, Nicolás Espinoza, G. Raikov
{"title":"Spectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields","authors":"J. Bony, Nicolás Espinoza, G. Raikov","doi":"10.4171/PRIMS/55-3-1","DOIUrl":"https://doi.org/10.4171/PRIMS/55-3-1","url":null,"abstract":"We consider a 2D Pauli operator with almost periodic field $b$ and electric potential $V$. First, we study the ergodic properties of $H$ and show, in particular, that its discrete spectrum is empty if there exists a magnetic potential which generates the magnetic field $b - b_{0}$, $b_{0}$ being the mean value of $b$. Next, we assume that $V = 0$, and investigate the zero modes of $H$. As expected, if $b_{0} neq 0$, then generically $operatorname{dim} operatorname{Ker} H = infty$. If $b_{0} = 0$, then for each $m in {mathbb N} cup { infty }$, we construct almost periodic $b$ such that $operatorname{dim} operatorname{Ker} H = m$. This construction depends strongly on results concerning the asymptotic behavior of Dirichlet series, also obtained in the present article.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/55-3-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45577106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Milnor–Orr Invariants from the Kontsevich Invariant 从Kontsevich不变量得到Milnor-Orr不变量
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2017-12-06 DOI: 10.4171/prims/56-1-7
Takefumi Nosaka
{"title":"Milnor–Orr Invariants from the Kontsevich Invariant","authors":"Takefumi Nosaka","doi":"10.4171/prims/56-1-7","DOIUrl":"https://doi.org/10.4171/prims/56-1-7","url":null,"abstract":"As nilpotent studies in knot theory, we focus on invariants of Milnor, Orr, and Kontsevich. We show that the Orr invariant of degree $ k $ is equivalent to the tree reduction of the Kontsevich invariant of degree $< 2k $. Furthermore, we will see a close relation between the Orr invariant and the Milnor invariant, and discuss a method of computing these invariants","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/prims/56-1-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46746574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Integrable Deformations and Degenerations of Some Irregular Singularities 一些不规则奇异点的可积变形和退化
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2017-11-22 DOI: 10.4171/PRIMS/57-3-2
C. Sabbah
{"title":"Integrable Deformations and Degenerations of Some Irregular Singularities","authors":"C. Sabbah","doi":"10.4171/PRIMS/57-3-2","DOIUrl":"https://doi.org/10.4171/PRIMS/57-3-2","url":null,"abstract":"Inspired by an article of Cotti, Dubrovin and Guzzetti arXiv:1706.04808, we extend to a degenerate case a result of Malgrange on integrable deformations of irregular singularities. We give an application to integrable deformations of the solution of some Birkhoff problem and apply it to the construction of Frobenius manifolds.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44741685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Moduli of Galois Representations Galois表示的模
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2017-10-18 DOI: 10.4171/PRIMS/53-4-1
Y. Taguchi
{"title":"Moduli of Galois Representations","authors":"Y. Taguchi","doi":"10.4171/PRIMS/53-4-1","DOIUrl":"https://doi.org/10.4171/PRIMS/53-4-1","url":null,"abstract":"We develop a theory of moduli of Galois representations. More generally, for an object in a rather general class A of non-commutative topological rings, we construct a moduli space of its absolutely irreducible representations of a fixed degree as a (so we call) “f-A scheme”. Various problems on Galois representations can be reformulated in terms of such moduli schemes. As an application, we show that the “difference” between the strong and week versions of the finiteness conjecture of Fontaine-Mazur is filled in by the finiteness conjecture of Khare-Moon.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/53-4-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44139508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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–Tate Conditions for Landau–Ginzburg Models Landau–Ginzburg模型的Hodge–Tate条件
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2017-09-11 DOI: 10.4171/PRIMS/54-3-2
Yota Shamoto
{"title":"Hodge–Tate Conditions for Landau–Ginzburg Models","authors":"Yota Shamoto","doi":"10.4171/PRIMS/54-3-2","DOIUrl":"https://doi.org/10.4171/PRIMS/54-3-2","url":null,"abstract":"We give a sufficient condition for a class of tame compactified Landau-Ginzburg models in the sense of Katzarkov-Kontsevich-Pantev to satisfy some versions of their conjectures. We also give examples which satisfy the condition. The relations to the quantum D-modules of Fano manifolds and the original conjectures are explained in Appendices.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/PRIMS/54-3-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47931895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
首页 上一页
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