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Derived Intersections and Free dg-Lie Algebroids 导交与自由dg-Lie代数
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2020-02-04 DOI: 10.4171/prims/57-3-11
Julien Grivaux
{"title":"Derived Intersections and Free dg-Lie Algebroids","authors":"Julien Grivaux","doi":"10.4171/prims/57-3-11","DOIUrl":"https://doi.org/10.4171/prims/57-3-11","url":null,"abstract":"We study free dg-Lie algebroids over arbitrary derived schemes, and compute their universal enveloping and jet algebras. We also introduce derived twisted connections, and relate them with lifts on twisted square zero extensions. This construction allows us to provide new conceptual approaches of existing results concerning the derived deformation theory of subschemes.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2020-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48611171","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
Kähler Forms for Families of Calabi–Yau Manifolds Kähler卡拉比-丘流形家族表格
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2020-01-21 DOI: 10.4171/prims/56-1-1
Matthias Braun, Youngook Choi, G. Schumacher
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引用次数: 5
The Regular Ground States of the Linear Boson Field in Terms of Soft Modes 线性玻色子场软模的正则基态
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2020-01-21 DOI: 10.4171/prims/56-1-6
A. Rieckers
{"title":"The Regular Ground States of the Linear Boson Field in Terms of Soft Modes","authors":"A. Rieckers","doi":"10.4171/prims/56-1-6","DOIUrl":"https://doi.org/10.4171/prims/56-1-6","url":null,"abstract":"","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2020-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/prims/56-1-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49645726","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 Note on Hopkins' Picard Groups of the Stable Homotopy Categories of $L_n$-Local Spectra 关于$L_n$-局部谱稳定同调范畴的Hopkins Picard群的一个注记
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2020-01-21 DOI: 10.4171/prims/56-1-8
K. Shimomura
{"title":"A Note on Hopkins' Picard Groups of the Stable Homotopy Categories of $L_n$-Local Spectra","authors":"K. Shimomura","doi":"10.4171/prims/56-1-8","DOIUrl":"https://doi.org/10.4171/prims/56-1-8","url":null,"abstract":"For a stable homotopy category [6], M. Hopkins introduced a Picard group (cf. [11], [4]) as a category consisting of isomorphism classes of invertible objects. For the stable homotopy category of Ln-local spectra, M. Hovey and H. Sadofsky [7] showed that the Picard group is actually a group containing the group of integers as a direct summand. We constructed an injection in [8] from the other summand of the Picard group to the direct sum of the Er-terms E r,r−1 r over r ≥ 2 of the Adams-Novikov spectral sequence converging to the homotopy groups of the Ln-localized sphere spectrum. In this paper, we show in a classical way that the injection is a bijection under a condition.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2020-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47612368","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
Equivariant K-Theory Approach to $imath$-Quantum Groups $imath$-量子群的等变K-理论方法
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-11-03 DOI: 10.4171/prims/58-3-6
Zhaobing Fan, Haitao Ma, H. Xiao
{"title":"Equivariant K-Theory Approach to $imath$-Quantum Groups","authors":"Zhaobing Fan, Haitao Ma, H. Xiao","doi":"10.4171/prims/58-3-6","DOIUrl":"https://doi.org/10.4171/prims/58-3-6","url":null,"abstract":"Various constructions for quantum groups have been generalized to $imath$-quantum groups. Such generalization is called $imath$-program. In this paper, we fill one of parts in the $imath$-program. Namely, we provide an equivariant K-theory approach to $imath$-quantum groups associated to the Satake diagram in eqref{eq1}, which is the Langlands dual picture of that constructed in cite{BKLW14}, where a geometric realization of the $imath$-quantum group is provided by using perverse sheaves. As an application of the main results, we prove Li's conjecture cite{L18} for the special cases with the satake diagram in eqref{eq1}.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2019-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47322633","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 Graph-Theoretical Classification for Reflectable Bases 反射基的图论分类
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-10-21 DOI: 10.4171/prims/55-4-2
S. Azam, M. Soltani, M. Tomie, Yōji Yoshii
{"title":"A Graph-Theoretical Classification for Reflectable Bases","authors":"S. Azam, M. Soltani, M. Tomie, Yōji Yoshii","doi":"10.4171/prims/55-4-2","DOIUrl":"https://doi.org/10.4171/prims/55-4-2","url":null,"abstract":"","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2019-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/prims/55-4-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48620557","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
Moderate Degeneration of Kähler–Einstein Manifolds with Negative Ricci Curvature 负Ricci曲率Kähler-Einstein流形的中度退化
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-10-21 DOI: 10.4171/prims/55-4-4
S. Takayama
{"title":"Moderate Degeneration of Kähler–Einstein Manifolds with Negative Ricci Curvature","authors":"S. Takayama","doi":"10.4171/prims/55-4-4","DOIUrl":"https://doi.org/10.4171/prims/55-4-4","url":null,"abstract":"","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2019-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45835760","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
The Generalized Franchetta Conjecture for Some Hyperkähler Fourfolds 某些Hyperkähler四倍数的广义Franchetta猜想
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-10-21 DOI: 10.4171/prims/55-4-8
R. Laterveer
{"title":"The Generalized Franchetta Conjecture for Some Hyperkähler Fourfolds","authors":"R. Laterveer","doi":"10.4171/prims/55-4-8","DOIUrl":"https://doi.org/10.4171/prims/55-4-8","url":null,"abstract":"We obtain a \"generalized Franchetta conjecture\" type of statement for the Hilbert squares of low genus K3 surfaces, and for the Fano varieties of lines on certain cubic fourfolds.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2019-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/prims/55-4-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48301316","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
Superoscillating Sequences and Hyperfunctions 超振荡序列与超函数
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-10-21 DOI: 10.4171/prims/55-4-1
F. Colombo, A. Yger, I. Sabadini, D. Struppa
{"title":"Superoscillating Sequences and Hyperfunctions","authors":"F. Colombo, A. Yger, I. Sabadini, D. Struppa","doi":"10.4171/prims/55-4-1","DOIUrl":"https://doi.org/10.4171/prims/55-4-1","url":null,"abstract":"","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2019-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/prims/55-4-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46495053","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: 25
Stochastic Wave Equations Defined by Fractal Laplacians on Cantor-Like Sets 类Cantor集上分形拉普拉斯算子定义的随机波动方程
IF 1.2 2区 数学
Publications of the Research Institute for Mathematical Sciences Pub Date : 2019-10-17 DOI: 10.4171/prims/58-4-3
Tim Ehnes
{"title":"Stochastic Wave Equations Defined by Fractal Laplacians on Cantor-Like Sets","authors":"Tim Ehnes","doi":"10.4171/prims/58-4-3","DOIUrl":"https://doi.org/10.4171/prims/58-4-3","url":null,"abstract":"We study stochastic wave equations in the sense of Walsh defined by fractal Laplacians on Cantor-like sets. For this purpose, we give an improved estimate on the uniform norm of eigenfunctions and approximate the wave propagator using the resolvent density. Afterwards, we establish existence and uniqueness of mild solutions to stochastic wave equations provided some Lipschitz and linear growth conditions. We prove H\"older continuity in space and time and compute the H\"older exponents. Moreover, we are concerned with the phenomenon of weak intermittency.","PeriodicalId":54528,"journal":{"name":"Publications of the Research Institute for Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2019-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49325017","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
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