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Non-purely non-symplectic automorphisms of order 6 on $K3$ surfaces K3曲面上的6阶非纯非辛自同构
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-10-11 DOI: 10.3792/pjaa.97.012
Nirai Shin-yashiki, Shingo Taki
{"title":"Non-purely non-symplectic automorphisms of order 6 on $K3$ surfaces","authors":"Nirai Shin-yashiki, Shingo Taki","doi":"10.3792/pjaa.97.012","DOIUrl":"https://doi.org/10.3792/pjaa.97.012","url":null,"abstract":"In this paper we study non-symplectic automorphisms of order 6 on $K3$ surfaces which are not purely. In particular we shall describe their fixed loci.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80274671","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
Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions 层$N$和预齐次zeta函数的质量形式的Shintani对应
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-10-06 DOI: 10.3792/pjaa.98.008
K. Sugiyama
{"title":"Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions","authors":"K. Sugiyama","doi":"10.3792/pjaa.98.008","DOIUrl":"https://doi.org/10.3792/pjaa.98.008","url":null,"abstract":"A Shintani-Katok-Sarnak type correspondence for Maass cusp forms of level N is shown to be derived from analytic properties of prehomogeneous zeta functions whose coefficients involve periods of Maass forms.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"53 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76739587","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
On inversion of adjunction 论附加词的倒置
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-07-10 DOI: 10.3792/pjaa.98.003
O. Fujino, K. Hashizume
{"title":"On inversion of adjunction","authors":"O. Fujino, K. Hashizume","doi":"10.3792/pjaa.98.003","DOIUrl":"https://doi.org/10.3792/pjaa.98.003","url":null,"abstract":"Summary: We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon’s inversion of adjunction for log canonical centers of arbitrary codimension.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"63 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78626857","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
Iterated towers of number fields by a quadratic map defined over the Gaussian rationals 通过在高斯有理数上定义的二次映射迭代数域塔
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-10-01 DOI: 10.3792/PJAA.96.012
Yasushi Mizusawa, Kota Yamamoto
{"title":"Iterated towers of number fields by a quadratic map defined over the Gaussian rationals","authors":"Yasushi Mizusawa, Kota Yamamoto","doi":"10.3792/PJAA.96.012","DOIUrl":"https://doi.org/10.3792/PJAA.96.012","url":null,"abstract":": An iterated tower of number fields is constructed by adding preimages of a base point by iterations of a rational map. A certain basic quadratic rational map defined over the Gaussian number field yields such a tower of which any two steps are relative bicyclic biquadratic extensions. Regarding such towers as analogues of Z 2 -extensions, we examine the parity of 2-ideal class numbers along the towers with some examples.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"105 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80712507","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
New results on slowly varying functions in the Zygmund sense 齐格蒙德意义上的慢变函数的新结果
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-06-01 DOI: 10.3792/pjaa.96.009
E. Omey, M. Cadena
{"title":"New results on slowly varying functions in the Zygmund sense","authors":"E. Omey, M. Cadena","doi":"10.3792/pjaa.96.009","DOIUrl":"https://doi.org/10.3792/pjaa.96.009","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"63 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76634563","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
Contact loci, motivic Milnor fibers of nondegenerate singularities 接触位点，非简并奇点的动力米尔诺纤维
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-02-01 DOI: 10.3792/pjaa.96.003
Q. Lê, T. Nguyen
{"title":"Contact loci, motivic Milnor fibers of nondegenerate singularities","authors":"Q. Lê, T. Nguyen","doi":"10.3792/pjaa.96.003","DOIUrl":"https://doi.org/10.3792/pjaa.96.003","url":null,"abstract":": Inspired by Denef-Loeser’s identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Leˆ Du˜ng Tra´ng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79504292","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
Spectral analysis on pseudo-Riemannian locally symmetric spaces 伪黎曼局部对称空间的谱分析
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-01-10 DOI: 10.3792/pjaa.96.013
Fanny Kassel, Toshiyuki Kobayashi
{"title":"Spectral analysis on pseudo-Riemannian locally symmetric spaces","authors":"Fanny Kassel, Toshiyuki Kobayashi","doi":"10.3792/pjaa.96.013","DOIUrl":"https://doi.org/10.3792/pjaa.96.013","url":null,"abstract":"We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces $Gamma backslash G/H$, beyond the classical setting where $H$ is compact (e.g. theory of automorphic forms for arithmetic $Gamma$) or $Gamma$ is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"13 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76660367","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: 4
The second moment for counting prime geodesics 第二个计算质数测地线的力矩
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-01-01 DOI: 10.3792/pjaa.96.002
I. Kaneko
{"title":"The second moment for counting prime geodesics","authors":"I. Kaneko","doi":"10.3792/pjaa.96.002","DOIUrl":"https://doi.org/10.3792/pjaa.96.002","url":null,"abstract":": A brighter light has freshly been shed upon the second moment of the Prime Geodesic Theorem. We work with such moments in the two and three dimensional hyperbolic spaces. Letting E (cid:2) ð X Þ be the error term arising from counting prime geodesics associated to (cid:2) ¼ PSL 2 ð Z ½ i (cid:2)Þ , the bound E (cid:2) ð X Þ (cid:3) X 3 = 2 þ (cid:2) is proved in a square mean sense. Our second moment bound is the pure counterpart of the work of Balog et al. for (cid:2) ¼ PSL 2 ð Z Þ , and the main innovation entails the delicate analysis of sums of Kloosterman sums. We also infer pointwise bounds from the standpoint of the second moment. Finally, we announce the pointwise bound E (cid:2) ð X Þ (cid:3) X 67 = 42 þ (cid:2) for (cid:2) ¼ PSL 2 ð Z ½ i (cid:2)Þ by an application of the Weyl-type subconvexity.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"86 18 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84012738","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
On the mod 2 cohomology of the classifying space of the exceptional Lie group $E_{6}$ 关于例外李群分类空间的模2上同调
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-11-01 DOI: 10.3792/pjaa.95.91
Masaki Kameko, Masaki Nakagawa, Tetsu Nishimoto
{"title":"On the mod 2 cohomology of the classifying space of the exceptional Lie group $E_{6}$","authors":"Masaki Kameko, Masaki Nakagawa, Tetsu Nishimoto","doi":"10.3792/pjaa.95.91","DOIUrl":"https://doi.org/10.3792/pjaa.95.91","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"16 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82078496","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
Limiting cases of Sobolev inequalities on stratified groups 分层群上Sobolev不等式的极限情况
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-10-01 DOI: 10.3792/pjaa.95.83
Michael Ruzhansky, Nurgissa Yessirkegenov
{"title":"Limiting cases of Sobolev inequalities on stratified groups","authors":"Michael Ruzhansky, Nurgissa Yessirkegenov","doi":"10.3792/pjaa.95.83","DOIUrl":"https://doi.org/10.3792/pjaa.95.83","url":null,"abstract":"In this paper we present critical Gagliardo-Nirenberg, Trudinger-type and Brezis-Gallouet-Wainger inequalities concerning the limiting cases of the embedding theorems for Sobolev spaces on stratified groups. Moreover, using the critical Gagliardo-Nirenberg inequality the existence of least energy solutions of the nonlinear Schrodinger type equations can be obtained. We also express the best constant in the critical Gagliardo-Nirenberg inequality in the variational form as well as in terms of the ground state solutions of the corresponding nonlinear subelliptic equations.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"23 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87352773","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: 4
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