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Hodge numbers and Hodge structures for 3-Calabi–Yau categories 3-Calabi-Yau类的Hodge数和Hodge结构
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2023-08-22 DOI: 10.5802/afst.1739
R. Abuaf
{"title":"Hodge numbers and Hodge structures for 3-Calabi–Yau categories","authors":"R. Abuaf","doi":"10.5802/afst.1739","DOIUrl":"https://doi.org/10.5802/afst.1739","url":null,"abstract":"","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127770393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and uniqueness of S 1 -invariant Kähler–Ricci solitons s1不变Kähler-Ricci孤子的存在唯一性
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2023-03-27 DOI: 10.5802/afst.1726
J. Schäfer
{"title":"Existence and uniqueness of S 1 -invariant Kähler–Ricci solitons","authors":"J. Schäfer","doi":"10.5802/afst.1726","DOIUrl":"https://doi.org/10.5802/afst.1726","url":null,"abstract":"","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123446129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A local obstruction for elliptic operators with real analytic coefficients on flat germs 平胚上实解析系数椭圆算子的局部阻碍
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-12-08 DOI: 10.5802/afst.1722
Martino Fassina, Yifei Pan
{"title":"A local obstruction for elliptic operators with real analytic coefficients on flat germs","authors":"Martino Fassina, Yifei Pan","doi":"10.5802/afst.1722","DOIUrl":"https://doi.org/10.5802/afst.1722","url":null,"abstract":"A BSTRACT . — Let Ω ⊂ R n ,n ⩾ 2, be an open set. For an elliptic differential operator L on Ω with real analytic coefficients and a point p ∈ Ω, we construct a smooth function g with the following properties: g is flat at p and the equation Lu = g has no smooth local solution u that is flat at p . R ÉSUMÉ . — Soit Ω ⊂ R n ,n ⩾ 2, un ensemble ouvert. Pour un opérateur diffé-rentiel elliptique L sur Ω avec des coefficients analytiques réels et un point p ∈ Ω, nous construisons une fonction lisse g avec les propriétés suivantes: g est plat en p et l’équation Lu = g n’a pas de solution locale lisse u qui est plate en p .","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114075224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Asymptotic of the largest Floquet multiplier for cooperative matrices 合作矩阵最大Floquet乘子的渐近性
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-10-28 DOI: 10.5802/afst.1716
P. Carmona
{"title":"Asymptotic of the largest Floquet multiplier for cooperative matrices","authors":"P. Carmona","doi":"10.5802/afst.1716","DOIUrl":"https://doi.org/10.5802/afst.1716","url":null,"abstract":"— The aim of this note is to give a link between the spectral radius of the monodromy matrix of a linear differential equation with periodic coefficients dx dt (t) = A(t) x(t), with A(t) a cooperative irreducible matrix, and the mean spectral abscissa ∫ 1 0 s(A(u)) du. RÉSUMÉ. — Le but de cet article est d’établir un lien entre le rayon spectral de la matrice de monodromie d’une équation différentielle linéaire à coefficients périodiques dx dt (t) = A(t) x(t), avec A(t) une matrice coopérative irréductible, avec la moyenne de l’abcisse spectrale ∫ 1 0 s(A(u)) du.","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130801776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
m-subharmonic and m-plurisubharmonic functions: on two problems of Sadullaev m-次调和和m-多次调和函数:关于Sadullaev的两个问题
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-07-01 DOI: 10.5802/afst.1711
S. Dinew
{"title":"m-subharmonic and m-plurisubharmonic functions: on two problems of Sadullaev","authors":"S. Dinew","doi":"10.5802/afst.1711","DOIUrl":"https://doi.org/10.5802/afst.1711","url":null,"abstract":"","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128335754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iterated S 3 Sasaki Joins and Bott Orbifolds 迭代S 3佐佐木连接和博特轨道
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-07-01 DOI: 10.5802/afst.1706
C. Boyer, Christina W. Tønnesen-Friedman
{"title":"Iterated S 3 Sasaki Joins and Bott Orbifolds","authors":"C. Boyer, Christina W. Tønnesen-Friedman","doi":"10.5802/afst.1706","DOIUrl":"https://doi.org/10.5802/afst.1706","url":null,"abstract":"","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123743572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Analysis of Monge–Ampère, a tribute to Ahmed Zeriahi 《monge - amquantre分析》，致敬Ahmed Zeriahi
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-07-01 DOI: 10.5802/afst.1703
Hoang Chinh Lu, Henri Guenancia, V. Guedj
{"title":"Analysis of Monge–Ampère, a tribute to Ahmed Zeriahi","authors":"Hoang Chinh Lu, Henri Guenancia, V. Guedj","doi":"10.5802/afst.1703","DOIUrl":"https://doi.org/10.5802/afst.1703","url":null,"abstract":"","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"16 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132237961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Open problems on structure of positively curved projective varieties 正弯曲投影簇结构的开放问题
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-07-01 DOI: 10.5802/afst.1712
Shin-ichi Matsumura
{"title":"Open problems on structure of positively curved projective varieties","authors":"Shin-ichi Matsumura","doi":"10.5802/afst.1712","DOIUrl":"https://doi.org/10.5802/afst.1712","url":null,"abstract":". We provide supplements and open problems related to structure theorems for maximal rationally connected fibrations of certain positively curved projective varieties, including smooth projective varieties with semi-positive holomorphic sectional curvature, pseudo-effective tangent bundle, and nef anti-canonical divisor.","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121699502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Uniform estimates for cscK metrics cscK指标的统一估计
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-07-01 DOI: 10.5802/afst.1710
Alix Deruelle, E. Di Nezza
{"title":"Uniform estimates for cscK metrics","authors":"Alix Deruelle, E. Di Nezza","doi":"10.5802/afst.1710","DOIUrl":"https://doi.org/10.5802/afst.1710","url":null,"abstract":"This note grew out of a series of lectures held in Cortona in 2019 and whose aim was to understand the recent breakthrough obtained by Chen and Cheng on the existence of constant scalar curvature K¨ahler metrics. We present a detailed version of the C 0 and C 2 a priori estimates within the realm of pluripotential theory.","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130303257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The divergence equation with L ∞ source 具有L∞源的散度方程
Annales de la Faculté des sciences de Toulouse : Mathématiques Pub Date : 2022-06-22 DOI: 10.5802/afst.1700
E. Curcă
{"title":"The divergence equation with L ∞ source","authors":"E. Curcă","doi":"10.5802/afst.1700","DOIUrl":"https://doi.org/10.5802/afst.1700","url":null,"abstract":"","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"153 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116402850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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