Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0012
Imane Ghanimi
{"title":"Characterization of the Lp range of a generalized Poisson transform of the hyperbolic space B(Hn)","authors":"Imane Ghanimi","doi":"10.1215/21562261-2022-0012","DOIUrl":"https://doi.org/10.1215/21562261-2022-0012","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43493327","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2021-0022
Katsuo Matsuoka, Y. Mizuta, T. Shimomura
{"title":"Nonhomogeneous central Morrey-type spaces in Lp(⋅) and weak estimates for the maximal and Riesz potential operators","authors":"Katsuo Matsuoka, Y. Mizuta, T. Shimomura","doi":"10.1215/21562261-2021-0022","DOIUrl":"https://doi.org/10.1215/21562261-2021-0022","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48380557","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0032
J. d'Almeida
{"title":"Sur une conjecture de Gruson–Lazarsfeld–Peskine","authors":"J. d'Almeida","doi":"10.1215/21562261-2022-0032","DOIUrl":"https://doi.org/10.1215/21562261-2022-0032","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48697019","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0015
A. Chirvasitu, L. Dąbrowski, M. Tobolski
{"title":"The Bestvina–Edwards theorem and the Hilbert–Smith conjecture","authors":"A. Chirvasitu, L. Dąbrowski, M. Tobolski","doi":"10.1215/21562261-2022-0015","DOIUrl":"https://doi.org/10.1215/21562261-2022-0015","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46956293","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2021-0020
Yu-ichi Tanaka
{"title":"A Cartan decomposition for a reductive real spherical homogeneous space","authors":"Yu-ichi Tanaka","doi":"10.1215/21562261-2021-0020","DOIUrl":"https://doi.org/10.1215/21562261-2021-0020","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43920933","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0025
S. A. Seyed Fakhari
{"title":"Regularity of symbolic powers of edge ideals of chordal graphs","authors":"S. A. Seyed Fakhari","doi":"10.1215/21562261-2022-0025","DOIUrl":"https://doi.org/10.1215/21562261-2022-0025","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42180909","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}
Pub Date : 2021-07-12DOI: 10.1215/21562261-2023-0008
Zhiyuan Li, Haitao Zou
Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebrated result is Orlov's derived Torelli theorem. In this note, we study the FM-partners of abelian varieties in positive characteristic. We notice that, in odd characteristics, two abelian varieties of odd dimension are derived equivalent if their associated Kummer stacks are derived equivalent, which is Krug and Sosna's result over complex numbers. For abelian surfaces in odd characteristic, we show that two abelian surfaces are derived equivalent if and only if their associated Kummer surfaces are isomorphic. This extends the result [doi:10.1215/s0012-7094-03-12036-0] to odd characteristic fields, which solved a classical problem originally from Shioda. Furthermore, we establish the derived Torelli theorem for supersingular abelian varieties and apply it to characterize the quasi-liftable birational models of supersingular generalized Kummer varieties.
{"title":"A note on Fourier–Mukai partners of abelian varieties over positive characteristic fields","authors":"Zhiyuan Li, Haitao Zou","doi":"10.1215/21562261-2023-0008","DOIUrl":"https://doi.org/10.1215/21562261-2023-0008","url":null,"abstract":"Over complex numbers, the Fourier-Mukai partners of abelian varieties are well-understood. A celebrated result is Orlov's derived Torelli theorem. In this note, we study the FM-partners of abelian varieties in positive characteristic. We notice that, in odd characteristics, two abelian varieties of odd dimension are derived equivalent if their associated Kummer stacks are derived equivalent, which is Krug and Sosna's result over complex numbers. For abelian surfaces in odd characteristic, we show that two abelian surfaces are derived equivalent if and only if their associated Kummer surfaces are isomorphic. This extends the result [doi:10.1215/s0012-7094-03-12036-0] to odd characteristic fields, which solved a classical problem originally from Shioda. Furthermore, we establish the derived Torelli theorem for supersingular abelian varieties and apply it to characterize the quasi-liftable birational models of supersingular generalized Kummer varieties.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41292362","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}
Pub Date : 2021-06-01DOI: 10.1215/21562261-2021-0014
K. Fujiwara, K. Ôno
{"title":"Kenji Fukaya","authors":"K. Fujiwara, K. Ôno","doi":"10.1215/21562261-2021-0014","DOIUrl":"https://doi.org/10.1215/21562261-2021-0014","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45123182","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}
Pub Date : 2021-03-01DOI: 10.1215/21562261-2020-0004
T. Ohshita
By using “Gauss sum type” Kolyvagin systems, Kurihara studied the higher Fitting ideals of Iwasawa modules, and he obtained a refinement of the minus part of the Iwasawa main conjecture over totally real fields ([Ku]). In this paper, we study the higher Fitting ideals of Iwasawa modules arising from the dual fine Selmer groups of general Galois representations which have Euler systems of “Rubintype”, like circular units or Beilinson–Kato elements. By using Kolyvagin derivatives, we construct an ascending filtration {Ci(c)}i≥0 of the Iwasawa algebra, and show that the filtration {Ci(c)}i≥0 gives good approximation of the higher Fitting ideals of the Iwasawa module under the assumption of “Iwasawa main conjecture”. Our results can be regarded as analogues of Kurihara’s results, and a refinement of “Iwasawa main conjecture” and Mazur–Rubin theory in certain cases.
{"title":"On higher Fitting ideals of certain Iwasawa modules associated with Galois representations and Euler systems","authors":"T. Ohshita","doi":"10.1215/21562261-2020-0004","DOIUrl":"https://doi.org/10.1215/21562261-2020-0004","url":null,"abstract":"By using “Gauss sum type” Kolyvagin systems, Kurihara studied the higher Fitting ideals of Iwasawa modules, and he obtained a refinement of the minus part of the Iwasawa main conjecture over totally real fields ([Ku]). In this paper, we study the higher Fitting ideals of Iwasawa modules arising from the dual fine Selmer groups of general Galois representations which have Euler systems of “Rubintype”, like circular units or Beilinson–Kato elements. By using Kolyvagin derivatives, we construct an ascending filtration {Ci(c)}i≥0 of the Iwasawa algebra, and show that the filtration {Ci(c)}i≥0 gives good approximation of the higher Fitting ideals of the Iwasawa module under the assumption of “Iwasawa main conjecture”. Our results can be regarded as analogues of Kurihara’s results, and a refinement of “Iwasawa main conjecture” and Mazur–Rubin theory in certain cases.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"61 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49023519","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}
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