Journal of the Institute of Mathematics of Jussieu最新文献

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JMJ volume 22 issue 2 Cover and Front matter JMJ第22卷第2期封面和封面
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2023-03-01 DOI: 10.1017/s1474748023000051
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引用次数: 0
JMJ volume 22 issue 1 Cover and Front matter JMJ第22卷第1期封面和封面
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2023-01-01 DOI: 10.1017/s1474748023000038
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引用次数: 0
JMJ volume 22 issue 1 Cover and Back matter JMJ第22卷第1期封面和封底
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2023-01-01 DOI: 10.1017/s147474802300004x
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引用次数: 0
SPECIAL VALUES OF ZETA-FUNCTIONS OF REGULAR SCHEMES 正则格式ZETA函数的特殊值
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-12-06 DOI: 10.1017/s1474748022000524
S. Lichtenbaum
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引用次数: 2
HYPERBOLIC MANIFOLDS THAT FIBRE ALGEBRAICALLY UP TO DIMENSION 8 代数上可达8维的双曲流形
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-11-10 DOI: 10.1017/s1474748022000536
Giovanni Italiano, Bruno Martelli, Matteo Migliorini
{"title":"HYPERBOLIC MANIFOLDS THAT FIBRE ALGEBRAICALLY UP TO DIMENSION 8","authors":"Giovanni Italiano, Bruno Martelli, Matteo Migliorini","doi":"10.1017/s1474748022000536","DOIUrl":"https://doi.org/10.1017/s1474748022000536","url":null,"abstract":"We construct some cusped finite-volume hyperbolic <jats:italic>n</jats:italic>-manifolds <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline1.png\" /> <jats:tex-math> $M^n$ </jats:tex-math> </jats:alternatives> </jats:inline-formula> that fibre algebraically in all the dimensions <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline2.png\" /> <jats:tex-math> $5leq n leq 8$ </jats:tex-math> </jats:alternatives> </jats:inline-formula>. That is, there is a surjective homomorphism <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline3.png\" /> <jats:tex-math> $pi _1(M^n) to {mathbb {Z}}$ </jats:tex-math> </jats:alternatives> </jats:inline-formula> with finitely generated kernel. The kernel is also finitely presented in the dimensions <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline4.png\" /> <jats:tex-math> $n=7, 8$ </jats:tex-math> </jats:alternatives> </jats:inline-formula>, and this leads to the first examples of hyperbolic <jats:italic>n</jats:italic>-manifolds <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline5.png\" /> <jats:tex-math> $widetilde M^n$ </jats:tex-math> </jats:alternatives> </jats:inline-formula> whose fundamental group is finitely presented but not of finite type. These <jats:italic>n</jats:italic>-manifolds <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline6.png\" /> <jats:tex-math> $widetilde M^n$ </jats:tex-math> </jats:alternatives> </jats:inline-formula> have infinitely many cusps of maximal rank and, hence, infinite Betti number <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline7.png\" /> <jats:tex-math> $b_{n-1}$ </jats:tex-math> </jats:alternatives> </jats:inline-formula>. They cover the finite-volume manifold <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000536_inline8.png\" /> <jats:tex-math> $M^n$ </jats:tex-math> </jats:alternatives> </jats:inline-formula>. We obtain these examples by assigning some appropriate <jats:italic>colours</jats:italic> and <jats:italic>states</jats:italic> to a family of right-angled hyperbolic polytopes <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S14","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"1366 ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138506282","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
JMJ volume 21 issue 6 Cover and Back matter JMJ第21卷第6期封面和封底
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-11-01 DOI: 10.1017/s1474748022000512
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引用次数: 0
GOOD REDUCTION AND CYCLIC COVERS 良好的还原和循环覆盖
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-10-24 DOI: 10.1017/s1474748022000457
Ariyan Javanpeykar, Daniel Loughran, Siddharth Mathur
{"title":"GOOD REDUCTION AND CYCLIC COVERS","authors":"Ariyan Javanpeykar, Daniel Loughran, Siddharth Mathur","doi":"10.1017/s1474748022000457","DOIUrl":"https://doi.org/10.1017/s1474748022000457","url":null,"abstract":"We prove finiteness results for sets of varieties over number fields with good reduction outside a given finite set of places using cyclic covers. We obtain a version of the Shafarevich conjecture for weighted projective surfaces, double covers of abelian varieties and reduce the Shafarevich conjecture for hypersurfaces to the case of hypersurfaces of high dimension. These are special cases of a general setup for integral points on moduli stacks of cyclic covers, and our arithmetic results are achieved via a version of the Chevalley–Weil theorem for stacks.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"1340 ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138506269","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
ON MORPHISMS KILLING WEIGHTS AND STABLE HUREWICZ-TYPE THEOREMS 关于态射杀权与稳定HUREWICZ型定理
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-10-24 DOI: 10.1017/s1474748022000470
M. Bondarko
{"title":"ON MORPHISMS KILLING WEIGHTS AND STABLE HUREWICZ-TYPE THEOREMS","authors":"M. Bondarko","doi":"10.1017/s1474748022000470","DOIUrl":"https://doi.org/10.1017/s1474748022000470","url":null,"abstract":"\u0000\t <jats:p>For a weight structure <jats:italic>w</jats:italic> on a triangulated category <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline1.png\" />\u0000\t\t<jats:tex-math>\u0000$underline {C}$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> we prove that the corresponding <jats:italic>weight complex</jats:italic> functor and some other (<jats:italic>weight-exact</jats:italic>) functors are ‘conservative up to weight-degenerate objects’; this improves earlier conservativity formulations. In the case <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline2.png\" />\u0000\t\t<jats:tex-math>\u0000$w=w^{sph}$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> (the <jats:italic>spherical</jats:italic> weight structure on <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline3.png\" />\u0000\t\t<jats:tex-math>\u0000$SH$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula>), we deduce the following converse to the stable Hurewicz theorem: <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline4.png\" />\u0000\t\t<jats:tex-math>\u0000$H^{sing}_{i}(M)={0}$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> for all <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline5.png\" />\u0000\t\t<jats:tex-math>\u0000$i<0$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> if and only if <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline6.png\" />\u0000\t\t<jats:tex-math>\u0000$Min SH$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> is an extension of a connective spectrum by an acyclic one. We also prove an equivariant version of this statement.</jats:p>\u0000\t <jats:p>The main idea is to study <jats:italic>M</jats:italic> that has <jats:italic>no weights</jats:italic><jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline7.png\" />\u0000\t\t<jats:tex-math>\u0000$m,dots ,n$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000\t </jats:inline-formula> (‘in the middle’). For <jats:inline-formula>\u0000\t <jats:alternatives>\u0000\t\t<jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S1474748022000470_inline8.png\" />\u0000\t\t<jats:tex-math>\u0000$w=w^{sph}$\u0000</jats:tex-math>\u0000\t </jats:alternatives>\u0000","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49382175","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
PONTRYAGIN DUALITY FOR VARIETIES OVER p-ADIC FIELDS p-ADIC场上变量的PONTRYAGIN对偶
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-09-28 DOI: 10.1017/s1474748022000469
Thomas H. Geisser, B. Morin
{"title":"PONTRYAGIN DUALITY FOR VARIETIES OVER p-ADIC FIELDS","authors":"Thomas H. Geisser, B. Morin","doi":"10.1017/s1474748022000469","DOIUrl":"https://doi.org/10.1017/s1474748022000469","url":null,"abstract":"\u0000 We define cohomological complexes of locally compact abelian groups associated with varieties over p-adic fields and prove a duality theorem under some assumption. Our duality takes the form of Pontryagin duality between locally compact motivic cohomology groups.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44682320","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
REAL TOPOLOGICAL HOCHSCHILD HOMOLOGY OF SCHEMES 方案的实拓扑hochschchild同调
IF 0.9 2区 数学
Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-09-26 DOI: 10.1017/s1474748023000178
J. Hornbostel, Doosung Park
{"title":"REAL TOPOLOGICAL HOCHSCHILD HOMOLOGY OF SCHEMES","authors":"J. Hornbostel, Doosung Park","doi":"10.1017/s1474748023000178","DOIUrl":"https://doi.org/10.1017/s1474748023000178","url":null,"abstract":"\u0000 We prove that real topological Hochschild homology \u0000 \u0000 \u0000 \u0000$mathrm {THR}$\u0000\u0000 \u0000 for schemes with involution satisfies base change and descent for the \u0000 \u0000 \u0000 \u0000${mathbb {Z}/2}$\u0000\u0000 \u0000 -isovariant étale topology. As an application, we provide computations for the projective line (with and without involution) and the higher-dimensional projective spaces.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44081435","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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