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Annales De L Institut Fourier最新文献

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Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics 非负弯曲度量的微分灵魂与不连通模空间
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-05-12 DOI: 10.5802/aif.3471
I. Belegradek, David Gonz'alez-'Alvaro
{"title":"Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics","authors":"I. Belegradek, David Gonz'alez-'Alvaro","doi":"10.5802/aif.3471","DOIUrl":"https://doi.org/10.5802/aif.3471","url":null,"abstract":"We give examples of open manifolds that carry infinitely many complete metrics of nonnegative sectional curvature such that they all have the same soul, and their isometry classes lie in different connected components of the moduli space. All previously known examples of this kind have souls of codimension one. In our examples the souls have codimensions three and two.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41953854","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: 1
Sheaf quantization and intersection of rational Lagrangian immersions 有理拉格朗日浸入的束量化与交
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-05-11 DOI: 10.5802/aif.3554
Tomohiro Asano, Yuichi Ike
{"title":"Sheaf quantization and intersection of rational Lagrangian immersions","authors":"Tomohiro Asano, Yuichi Ike","doi":"10.5802/aif.3554","DOIUrl":"https://doi.org/10.5802/aif.3554","url":null,"abstract":"We study rational Lagrangian immersions in a cotangent bundle, based on the microlocal theory of sheaves. We construct a sheaf quantization of a rational Lagrangian immersion and investigate its properties in Tamarkin category. Using the sheaf quantization, we give an explicit bound for the displacement energy and a Betti/cup-length estimate for the number of the intersection points of the immersion and its Hamiltonian image by a purely sheaf-theoretic method.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41502102","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: 11
Tate classes on self-products of Abelian varieties over finite fields 有限域上阿贝尔变的自积上的泰特类
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-05-09 DOI: 10.5802/aif.3483
Y. Zarhin
{"title":"Tate classes on self-products of Abelian varieties over finite fields","authors":"Y. Zarhin","doi":"10.5802/aif.3483","DOIUrl":"https://doi.org/10.5802/aif.3483","url":null,"abstract":"We deal with $g$-dimensional abelian varieties $X$ over finite fields. We prove that there is an universal constant (positive integer) $N=N(g)$ that depends only on $g$ that enjoys the following properties. If a certain self-product of $X$ carries an exotic Tate class then the self-product $X^{2N}$of $X$ also carries an exotic Tate class. This gives a positive answer to a question of Kiran Kedlaya.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41587911","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: 1
Scattering theory for Dirac fields near an extreme Kerr–de Sitter black hole 极端克尔-德西特黑洞附近狄拉克场的散射理论
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-05-03 DOI: 10.5802/aif.3553/
Jack Borthwick
{"title":"Scattering theory for Dirac fields near an extreme Kerr–de Sitter black hole","authors":"Jack Borthwick","doi":"10.5802/aif.3553/","DOIUrl":"https://doi.org/10.5802/aif.3553/","url":null,"abstract":"In this paper, we construct a scattering theory for classical massive Dirac fields near the \"double\" horizon of an extreme Kerr-de Sitter blackhole. Our main tool is the existence of a conjugate operator in the sense of Mourre theory. Additionally, despite the fact that effects of the rotation are 'amplified' near the double horizon, we show that one can still reduce our study to a 1-dimensional problem through an appropriate decomposition of the Hilbert space.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46747874","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: 3
Vanishing cohomology and Betti bounds for complex projective hypersurfaces 复射影超曲面的消失上同调与Betti界
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-04-16 DOI: 10.5802/aif.3486
Laurenctiu Maxim, Laurenctiu Puaunescu, Mihai Tibùar
{"title":"Vanishing cohomology and Betti bounds for complex projective hypersurfaces","authors":"Laurenctiu Maxim, Laurenctiu Puaunescu, Mihai Tibùar","doi":"10.5802/aif.3486","DOIUrl":"https://doi.org/10.5802/aif.3486","url":null,"abstract":"We employ the formalism of vanishing cycles and perverse sheaves to introduce and study the vanishing cohomology of complex projective hypersurfaces. As a consequence, we give upper bounds for the Betti numbers of projective hypersurfaces, generalizing those obtained by different methods by Dimca in the isolated singularities case, and by Siersma-Tibăr in the case of hypersurfaces with a $1$-dimensional singular locus. We also prove a supplement to the Lefschetz hyperplane theorem for hypersurfaces, which takes the dimension of the singular locus into account, and we use it to give a new proof of a result of Kato.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48292832","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: 3
L p -estimates of extensions of holomorphic functions defined on a non-reduced subvariety 定义在非约简子簇上的全纯函数扩展的L p -估计
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-04-15 DOI: 10.5802/aif.3586
M. Andersson
{"title":"L p -estimates of extensions of holomorphic functions defined on a non-reduced subvariety","authors":"M. Andersson","doi":"10.5802/aif.3586","DOIUrl":"https://doi.org/10.5802/aif.3586","url":null,"abstract":"Let $D$ be a strictly pseudoconvex domain in $C^N$ and $X$ a pure-dimensional non-reduced subvariety that behaves well at $partial D$. We provide $L^p$-estimates of extensions of holomorphic functions defined on $X$.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47573647","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
Sets, groups, and fields definable in vector spaces with a bilinear form 在具有双线性形式的向量空间中可定义的集合、群和域
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-04-15 DOI: 10.5802/aif.3559
J. Dobrowolski
{"title":"Sets, groups, and fields definable in vector spaces with a bilinear form","authors":"J. Dobrowolski","doi":"10.5802/aif.3559","DOIUrl":"https://doi.org/10.5802/aif.3559","url":null,"abstract":"We study definable sets, groups, and fields in the theory $T_infty$ of infinite-dimensional vector spaces over an algebraically closed field equipped with a nondegenerate symmetric (or alternating) bilinear form. First, we define an ($mathbb{N}times mathbb{Z},leq_{lex}$)-valued dimension on definable sets in $T_infty$ enjoying many properties of Morley rank in strongly minimal theories. Then, using this dimension notion as the main tool, we prove that all groups definable in $T_infty$ are (algebraic-by-abelian)-by-algebraic, which, in particular, answers a question of Granger. We conclude that every infinite field definable in $T_infty$ is definably isomorphic to the field of scalars of the vector space. We derive some other consequences of good behaviour of the dimension in $T_infty$, e.g. every generic type in any definable set is a definable type; every set is an extension base; every definable group has a definable connected component. \u0000We also consider the theory $T^{RCF}_infty$ of vector spaces over a real closed field equipped with a nondegenerate alternating bilinear form or a nondegenerate symmetric positive-definite bilinear form. Using the same construction as in the case of $T_infty$, we define a dimension on sets definable in $T^{RCF}_infty$, and using it we prove analogous results about definable groups and fields: every group definable in $T^{RCF}_{infty}$ is (semialgebraic-by-abelian)-by-semialgebraic (in particular, it is (Lie-by-abelian)-by-Lie), and every field definable in $T^{RCF}_{infty}$ is definable in the field of scalars, hence it is either real closed or algebraically closed.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49282426","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: 8
Spécialisation du groupoïde de Galois d’un champ de vecteurs 向量场伽罗瓦群的专门化
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-04-15 DOI: 10.5802/aif.3506
G. Casale, D. Davy
{"title":"Spécialisation du groupoïde de Galois d’un champ de vecteurs","authors":"G. Casale, D. Davy","doi":"10.5802/aif.3506","DOIUrl":"https://doi.org/10.5802/aif.3506","url":null,"abstract":"Nous montrons un resultat de semi-continuite du groupoide de Galois d'un champs de vecteur dependant d'un parametre. Applique aux equations de Painleve, ce resultat nous permet de calculer le groupoide de Galois de ces equations pour des valeurs generales des parametres.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46262135","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: 3
Real Log Curves in Toric Varieties, Tropical Curves, and Log Welschinger Invariants Toric变种中的实对数曲线、热带曲线和Log-Wellschinger不变量
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-04-10 DOI: 10.5802/aif.3507
Hulya Arguz, Pierrick Bousseau
{"title":"Real Log Curves in Toric Varieties, Tropical Curves, and Log Welschinger Invariants","authors":"Hulya Arguz, Pierrick Bousseau","doi":"10.5802/aif.3507","DOIUrl":"https://doi.org/10.5802/aif.3507","url":null,"abstract":"We give a tropical description of the counting of real log curves in toric degenerations of toric varieties. We treat the case of genus zero curves and all non-superabundant higher-genus situations. The proof relies on log deformation theory and is a real version of the Nishinou-Siebert approach to the tropical correspondence theorem for complex curves. In dimension two, we use similar techniques to study the counting of real log curves with Welschinger signs and we obtain a new proof of Mikhalkin's tropical correspondence theorem for Welschinger invariants.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47725033","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: 3
Connected algebraic groups acting on algebraic surfaces 作用于代数曲面上的连通代数群
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2020-04-10 DOI: 10.5802/aif.3595
Pascal Fong
{"title":"Connected algebraic groups acting on algebraic surfaces","authors":"Pascal Fong","doi":"10.5802/aif.3595","DOIUrl":"https://doi.org/10.5802/aif.3595","url":null,"abstract":"We classify the maximal connected algebraic subgroups of Bir(X), when X is a surface.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2020-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49000385","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: 5
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