Pub Date : 2022-05-20DOI: 10.1017/S1474748022000202
N. Abe
Abstract We calculate the extension groups between simple modules of pro-p-Iwahori Hecke algebras.
摘要我们计算了pro-p-Iwahori-Hecke代数的简单模之间的扩张群。
{"title":"EXTENSION BETWEEN SIMPLE MODULES OF PRO-p-IWAHORI HECKE ALGEBRAS","authors":"N. Abe","doi":"10.1017/S1474748022000202","DOIUrl":"https://doi.org/10.1017/S1474748022000202","url":null,"abstract":"Abstract We calculate the extension groups between simple modules of pro-p-Iwahori Hecke algebras.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"2775 - 2804"},"PeriodicalIF":0.9,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43431261","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}
Pub Date : 2022-04-06DOI: 10.1017/s1474748022000226
{"title":"JMJ volume 21 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s1474748022000226","DOIUrl":"https://doi.org/10.1017/s1474748022000226","url":null,"abstract":"","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":" ","pages":"f1 - f2"},"PeriodicalIF":0.9,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47348626","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}
Pub Date : 2022-04-06DOI: 10.1017/s1474748022000238
{"title":"JMJ volume 21 issue 3 Cover and Back matter","authors":"","doi":"10.1017/s1474748022000238","DOIUrl":"https://doi.org/10.1017/s1474748022000238","url":null,"abstract":"","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"21 1","pages":"b1 - b2"},"PeriodicalIF":0.9,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42057860","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}
Pub Date : 2022-04-04DOI: 10.1017/s1474748022000123
F. Binda, Alberto Merici
The proof of [1, Lemma 7.2] contains a gap: the equality $omega _{sharp } h_{0}(Lambda _{mathrm {ltr}}(eta ,mathrm {triv})) = omega _{sharp } h_{0}(omega ^{*}Lambda _{mathrm {tr}}(eta ))$ is false. Indeed one can check that for $Xin mathbf {Sm}(k)$ proper, $$ begin{align*} operatorname{Hom}( omega_{sharp} h_{0}(Lambda_{mathrm{ltr}} (eta_{X}, mathrm{triv})), mathbf{G}_{a}) neq operatorname{Hom}( omega_{sharp} h_{0} (omega^{*} Lambda_{{mathrm{tr}}}( eta_{X})) , mathbf{G}_{a}), end{align*} $$ as the left-hand side is $mathbf {G}_{a}(eta _{X})$ , whereas the right-hand side is $mathbf {G}_{a}(X)$ . For now, we can give a proof only of a weaker version of [1, Proposition 7.3]:
{"title":"ERRATUM TO: CONNECTIVITY AND PURITY FOR LOGARITHMIC MOTIVES","authors":"F. Binda, Alberto Merici","doi":"10.1017/s1474748022000123","DOIUrl":"https://doi.org/10.1017/s1474748022000123","url":null,"abstract":"The proof of [1, Lemma 7.2] contains a gap: the equality \u0000 \u0000 \u0000 \u0000$omega _{sharp } h_{0}(Lambda _{mathrm {ltr}}(eta ,mathrm {triv})) = omega _{sharp } h_{0}(omega ^{*}Lambda _{mathrm {tr}}(eta ))$\u0000\u0000 \u0000 is false. Indeed one can check that for \u0000 \u0000 \u0000 \u0000$Xin mathbf {Sm}(k)$\u0000\u0000 \u0000 proper, \u0000 \u0000 \u0000 \u0000$$ begin{align*} operatorname{Hom}( omega_{sharp} h_{0}(Lambda_{mathrm{ltr}} (eta_{X}, mathrm{triv})), mathbf{G}_{a}) neq operatorname{Hom}( omega_{sharp} h_{0} (omega^{*} Lambda_{{mathrm{tr}}}( eta_{X})) , mathbf{G}_{a}), end{align*} $$\u0000\u0000 \u0000 as the left-hand side is \u0000 \u0000 \u0000 \u0000$mathbf {G}_{a}(eta _{X})$\u0000\u0000 \u0000 , whereas the right-hand side is \u0000 \u0000 \u0000 \u0000$mathbf {G}_{a}(X)$\u0000\u0000 \u0000 . For now, we can give a proof only of a weaker version of [1, Proposition 7.3]:","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"1001 - 1002"},"PeriodicalIF":0.9,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47627025","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}
Pub Date : 2022-02-28DOI: 10.1017/s1474748022000147
{"title":"JMJ volume 21 issue 2 Cover and Front matter","authors":"","doi":"10.1017/s1474748022000147","DOIUrl":"https://doi.org/10.1017/s1474748022000147","url":null,"abstract":"","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":" ","pages":"f1 - f2"},"PeriodicalIF":0.9,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49592507","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}
Pub Date : 2022-02-28DOI: 10.1017/s1474748022000159
{"title":"JMJ volume 21 issue 2 Cover and Back matter","authors":"","doi":"10.1017/s1474748022000159","DOIUrl":"https://doi.org/10.1017/s1474748022000159","url":null,"abstract":"","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"21 1","pages":"b1 - b2"},"PeriodicalIF":0.9,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"57027309","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}
Pub Date : 2022-02-14DOI: 10.1017/S1474748022000044
Xianjing Dong
Abstract We investigate Carlson–Griffiths’ equidistribution theory of meormorphic mappings from a complete Kähler manifold into a complex projective algebraic manifold. By using a technique of Brownian motions developed by Atsuji, we obtain a second main theorem in Nevanlinna theory provided that the source manifold is of nonpositive sectional curvature. In particular, a defect relation follows if some growth condition is imposed.
{"title":"CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS","authors":"Xianjing Dong","doi":"10.1017/S1474748022000044","DOIUrl":"https://doi.org/10.1017/S1474748022000044","url":null,"abstract":"Abstract We investigate Carlson–Griffiths’ equidistribution theory of meormorphic mappings from a complete Kähler manifold into a complex projective algebraic manifold. By using a technique of Brownian motions developed by Atsuji, we obtain a second main theorem in Nevanlinna theory provided that the source manifold is of nonpositive sectional curvature. In particular, a defect relation follows if some growth condition is imposed.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"2337 - 2365"},"PeriodicalIF":0.9,"publicationDate":"2022-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43648896","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}
Pub Date : 2022-02-11DOI: 10.1017/S1474748022000032
Mainak Ghosh, A. Krishna
Abstract We prove an extension of the Kato–Saito unramified class field theory for smooth projective schemes over a finite field to a class of normal projective schemes. As an application, we obtain Bloch’s formula for the Chow groups of $0$ -cycles on such schemes. We identify the Chow group of $0$ -cycles on a normal projective scheme over an algebraically closed field to the Suslin homology of its regular locus. Our final result is a Roitman torsion theorem for smooth quasiprojective schemes over algebraically closed fields. This completes the missing p-part in the torsion theorem of Spieß and Szamuely.
{"title":"ZERO-CYCLES ON NORMAL PROJECTIVE VARIETIES","authors":"Mainak Ghosh, A. Krishna","doi":"10.1017/S1474748022000032","DOIUrl":"https://doi.org/10.1017/S1474748022000032","url":null,"abstract":"Abstract We prove an extension of the Kato–Saito unramified class field theory for smooth projective schemes over a finite field to a class of normal projective schemes. As an application, we obtain Bloch’s formula for the Chow groups of \u0000$0$\u0000 -cycles on such schemes. We identify the Chow group of \u0000$0$\u0000 -cycles on a normal projective scheme over an algebraically closed field to the Suslin homology of its regular locus. Our final result is a Roitman torsion theorem for smooth quasiprojective schemes over algebraically closed fields. This completes the missing p-part in the torsion theorem of Spieß and Szamuely.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"2241 - 2295"},"PeriodicalIF":0.9,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44146236","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}
Pub Date : 2022-02-07DOI: 10.1017/S1474748022000020
N. Braun Rodrigues
Abstract In this work we prove a Fourier–Bros–Iagolnitzer (F.B.I.) characterisation for Gevrey vectors on hypo-analytic structures and we analyse the main differences of Gevrey regularity and hypo-analyticity concerning the F.B.I. transform. We end with an application of this characterisation on a propagation of Gevrey singularities result for solutions of the nonhomogeneous system associated with the hypo-analytic structure for analytic structures of tube type.
{"title":"A FOURIER-TYPE CHARACTERISATION FOR GEVREY VECTORS ON HYPO-ANALYTIC STRUCTURES AND PROPAGATION OF GEVREY SINGULARITIES","authors":"N. Braun Rodrigues","doi":"10.1017/S1474748022000020","DOIUrl":"https://doi.org/10.1017/S1474748022000020","url":null,"abstract":"Abstract In this work we prove a Fourier–Bros–Iagolnitzer (F.B.I.) characterisation for Gevrey vectors on hypo-analytic structures and we analyse the main differences of Gevrey regularity and hypo-analyticity concerning the F.B.I. transform. We end with an application of this characterisation on a propagation of Gevrey singularities result for solutions of the nonhomogeneous system associated with the hypo-analytic structure for analytic structures of tube type.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"2177 - 2198"},"PeriodicalIF":0.9,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45048280","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}
Pub Date : 2022-01-06DOI: 10.1017/S1474748021000591
Jesús Castro-Infantes, J. M. Manzano
Abstract For each $kgeq 3$ , we construct a $1$ -parameter family of complete properly Alexandrov-embedded minimal surfaces in the Riemannian product space $mathbb {H}^2times mathbb {R}$ with genus $1$ and k embedded ends asymptotic to vertical planes. We also obtain complete minimal surfaces with genus $1$ and $2k$ ends in the quotient of $mathbb {H}^2times mathbb {R}$ by an arbitrary vertical translation. They all have dihedral symmetry with respect to k vertical planes, as well as finite total curvature $-4kpi $ . Finally, we provide examples of complete properly Alexandrov-embedded minimal surfaces with finite total curvature with genus $1$ in quotients of $mathbb {H}^2times mathbb {R}$ by the action of a hyperbolic or parabolic translation.
{"title":"GENUS \u0000$1$\u0000 MINIMAL k-NOIDS AND SADDLE TOWERS IN \u0000$mathbb {H}^2times mathbb {R}$","authors":"Jesús Castro-Infantes, J. M. Manzano","doi":"10.1017/S1474748021000591","DOIUrl":"https://doi.org/10.1017/S1474748021000591","url":null,"abstract":"Abstract For each \u0000$kgeq 3$\u0000 , we construct a \u0000$1$\u0000 -parameter family of complete properly Alexandrov-embedded minimal surfaces in the Riemannian product space \u0000$mathbb {H}^2times mathbb {R}$\u0000 with genus \u0000$1$\u0000 and k embedded ends asymptotic to vertical planes. We also obtain complete minimal surfaces with genus \u0000$1$\u0000 and \u0000$2k$\u0000 ends in the quotient of \u0000$mathbb {H}^2times mathbb {R}$\u0000 by an arbitrary vertical translation. They all have dihedral symmetry with respect to k vertical planes, as well as finite total curvature \u0000$-4kpi $\u0000 . Finally, we provide examples of complete properly Alexandrov-embedded minimal surfaces with finite total curvature with genus \u0000$1$\u0000 in quotients of \u0000$mathbb {H}^2times mathbb {R}$\u0000 by the action of a hyperbolic or parabolic translation.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"22 1","pages":"2155 - 2175"},"PeriodicalIF":0.9,"publicationDate":"2022-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49650654","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}
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