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Perverse sheaves on $mathbf{C}^{2}$ without vanishing cycles at the origin along a general plane curve with singularities 在$mathbf{C}^{2}$上沿具有奇异点的一般平面曲线在原点处无消失环的反常束
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-10-11 DOI: 10.3792/pjaa.98.011
Dérille Kouemo Djoukoue, Philibert Nang
{"title":"Perverse sheaves on $mathbf{C}^{2}$ without vanishing cycles at the origin along a general plane curve with singularities","authors":"Dérille Kouemo Djoukoue, Philibert Nang","doi":"10.3792/pjaa.98.011","DOIUrl":"https://doi.org/10.3792/pjaa.98.011","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"32 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77618325","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: 0
The $p$-integrable Teichmüller space for $p geqslant 1$ 的$p$ -可积的teichm<e:1>空间 $p geqslant 1$
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-10-10 DOI: 10.3792/pjaa.99.008
Huaying Wei, Katsuhiko Matsuzaki
{"title":"The $p$-integrable Teichmüller space for $p geqslant 1$","authors":"Huaying Wei, Katsuhiko Matsuzaki","doi":"10.3792/pjaa.99.008","DOIUrl":"https://doi.org/10.3792/pjaa.99.008","url":null,"abstract":"We verify that the $p$-integrable Teichm\"uller space $T_p$ admits the canonical complex Banach manifold structure for any $p geq 1$. Moreover, we characterize a quasisymmetric homeomorphism corresponding to an element of $T_p$ in terms of the $p$-Besov space for any $p>1$.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"68 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88250112","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
The transcendence of zeros of natural basis elements for the space of the weakly holomorphic modular forms for $Gamma_{0}^{+}(3)$ $Gamma_{0}^{+}(3)$弱全纯模形式空间的自然基元的超零性
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-07-29 DOI: 10.3792/pjaa.98.009
Soyoung Choi
{"title":"The transcendence of zeros of natural basis elements for the space of the weakly holomorphic modular forms for $Gamma_{0}^{+}(3)$","authors":"Soyoung Choi","doi":"10.3792/pjaa.98.009","DOIUrl":"https://doi.org/10.3792/pjaa.98.009","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85609887","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: 0
Deligne–Beilinson cohomology and log Hodge theory delign - beilinson上同和log Hodge理论
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-06-03 DOI: 10.3792/pjaa.99.006
Kazuya Kato, Chikara Nakayama, S. Usui
{"title":"Deligne–Beilinson cohomology and log Hodge theory","authors":"Kazuya Kato, Chikara Nakayama, S. Usui","doi":"10.3792/pjaa.99.006","DOIUrl":"https://doi.org/10.3792/pjaa.99.006","url":null,"abstract":"We show that the description of Deligne--Beilinson cohomology is improved by using log Hodge theory. We consider the log relative version of it, and also present a fundamental conjecture in log Hodge theory.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"39 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76192226","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: 0
A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions 利用Kleshchev多重分割证明第二Rogers-Ramanujan恒等式
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-05-12 DOI: 10.3792/pjaa.99.005
Shunsuke Tsuchioka
{"title":"A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions","authors":"Shunsuke Tsuchioka","doi":"10.3792/pjaa.99.005","DOIUrl":"https://doi.org/10.3792/pjaa.99.005","url":null,"abstract":"We give another proof of the second Rogers-Ramanujan identity by Kashiwara crystals.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"36 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90457222","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: 0
Proving dualities for $q$MZVs with connected sums 证明具有连通和的$q$ mzv的对偶性
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-05-11 DOI: 10.3792/pjaa.98.006
Benjamin Brindle
{"title":"Proving dualities for $q$MZVs with connected sums","authors":"Benjamin Brindle","doi":"10.3792/pjaa.98.006","DOIUrl":"https://doi.org/10.3792/pjaa.98.006","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"15 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90383690","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
Concordant pairs in ratios with rank at least two and the distribution of $theta$-congruent numbers 秩至少为二的比例中的和谐对和$ θ $-同余数的分布
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-04-11 DOI: 10.3792/pjaa.98.005
J. T. Dimabayao
{"title":"Concordant pairs in ratios with rank at least two and the distribution of $theta$-congruent numbers","authors":"J. T. Dimabayao","doi":"10.3792/pjaa.98.005","DOIUrl":"https://doi.org/10.3792/pjaa.98.005","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"168 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76188736","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: 0
Chebyshev’s bias for Ramanujan’s $tau$-function via the Deep Riemann Hypothesis Chebyshev对Ramanujan 's $tau$-函数的偏差通过深度黎曼假设
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-03-24 DOI: 10.3792/pjaa.98.007
S. Koyama, N. Kurokawa
{"title":"Chebyshev’s bias for Ramanujan’s $tau$-function via the Deep Riemann Hypothesis","authors":"S. Koyama, N. Kurokawa","doi":"10.3792/pjaa.98.007","DOIUrl":"https://doi.org/10.3792/pjaa.98.007","url":null,"abstract":"The authors assume the Deep Riemann Hypothesis to prove that a weighted sum of Ramanujan’s τ -function has a bias to being positive. This phenomenon is an analogue of Chebyshev’s bias.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"10 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82218969","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
Multiplicity in restricting small representations 限制小表示的多重性
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-03-11 DOI: 10.3792/pjaa.98.004
Toshiyuki Kobayashi
{"title":"Multiplicity in restricting small representations","authors":"Toshiyuki Kobayashi","doi":"10.3792/pjaa.98.004","DOIUrl":"https://doi.org/10.3792/pjaa.98.004","url":null,"abstract":": We give a geometric criterion for the bounded multiplicity property of ‘‘small’’ infinite-dimensional representations of real reductive Lie groups in both induction and restrictions. In particular, for a reductive symmetric pair ð G; H Þ , we determine the reductive subgroups G 0 having the property that any irreducible H -distinguished admissible representations of G are of bounded multiplicity when restricted to G 0 .","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"25 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84064799","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
A note on operator perturbation of woven frames 关于机织架算子摄动的注记
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-12-10 DOI: 10.3792/pjaa.97.017
Zhong-Qi Xiang, Xiang-Chun Xiao
{"title":"A note on operator perturbation of woven frames","authors":"Zhong-Qi Xiang, Xiang-Chun Xiao","doi":"10.3792/pjaa.97.017","DOIUrl":"https://doi.org/10.3792/pjaa.97.017","url":null,"abstract":": In this paper, we give a necessary and sufficient condition under which a woven frame can be preserved when applying an operator to it, which provides a correction to one existing corresponding result due to Rahimi et al. We also present some new results on the stability of woven frames under perturbation of two different operators.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"137 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80520257","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
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