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An optimal support function related to the strong openness conjecture 与强开放猜想相关的最优支持函数
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-05-17 DOI: 10.2969/jmsj/87048704
Q. Guan, Zheng Yuan
{"title":"An optimal support function related to the strong openness conjecture","authors":"Q. Guan, Zheng Yuan","doi":"10.2969/jmsj/87048704","DOIUrl":"https://doi.org/10.2969/jmsj/87048704","url":null,"abstract":". In the present article, we obtain an optimal support function of weighted L 2 integrations on superlevel sets of psh weights, which implies the strong openness property of multiplier ideal sheaves.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45225667","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
Large deviations for values of $L$-functions attached to cusp forms in the level aspect 在水平方面，附属于尖端形式的$L$函数值的较大偏差
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-05-12 DOI: 10.2969/jmsj/88888888
Masahiro Mine
{"title":"Large deviations for values of $L$-functions attached to cusp forms in the level aspect","authors":"Masahiro Mine","doi":"10.2969/jmsj/88888888","DOIUrl":"https://doi.org/10.2969/jmsj/88888888","url":null,"abstract":"We study the distribution of values of automorphic L-functions in a family of holomorphic cusp forms with prime level. We prove an asymptotic formula for a certain density function closely related to this value-distribution. The formula is applied to estimate large values of L-functions.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42146861","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
Localization formulas of cohomology intersection numbers 上同调交数的局部化公式
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-04-26 DOI: 10.2969/jmsj/87738773
Saiei-Jaeyeong Matsubara-Heo
{"title":"Localization formulas of cohomology intersection numbers","authors":"Saiei-Jaeyeong Matsubara-Heo","doi":"10.2969/jmsj/87738773","DOIUrl":"https://doi.org/10.2969/jmsj/87738773","url":null,"abstract":"We revisit the localization formulas of cohomology intersection numbers associated to a logarithmic connection. The main contribution of this paper is threefold: we prove the localization formula of the cohomology intersection number of logarithmic forms in terms of residue of a connection; we prove that the leading term of the Laurent expansion of the cohomology intersection number is Grothendieck residue when the connection is hypergeometric; and we prove that the leading term of stringy integral discussed by Arkani-Hamed, He and Lam is nothing but the self-cohomology intersection number of the canonical form.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49506370","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
On the positivity of the dimension of the global sections of adjoint bundle for quasi-polarized manifold with numerically trivial canonical bundle 具有数值平凡正则束的拟极化流形伴随束整体截面维数的正性
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-04-13 DOI: 10.2969/JMSJ/84588458
Y. Fukuma
{"title":"On the positivity of the dimension of the global sections of\u0000 adjoint bundle for quasi-polarized manifold with numerically trivial canonical bundle","authors":"Y. Fukuma","doi":"10.2969/JMSJ/84588458","DOIUrl":"https://doi.org/10.2969/JMSJ/84588458","url":null,"abstract":"Let (X, L) denote a quasi-polarized manifold of dimension n ≥ 5 defined over the field of complex numbers such that the canonical line bundle KX of X is numerically equivalent to zero. In this paper, we consider the dimension of the global sections of KX + mL in this case, and we prove that h(KX + mL) > 0 for every positive integer m with m ≥ n − 3. In particular, a Beltrametti-Sommese conjecture is true for quasi-polarized manifolds with numerically trivial canonical divisors.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43339968","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
Categorical dimension of birational transformations and filtrations of Cremona groups Cremona群的对偶变换和过滤的范畴维数
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-04-13 DOI: 10.2969/JMSJ/82658265
M. Bernardara
{"title":"Categorical dimension of birational transformations and filtrations of Cremona groups","authors":"M. Bernardara","doi":"10.2969/JMSJ/82658265","DOIUrl":"https://doi.org/10.2969/JMSJ/82658265","url":null,"abstract":"Using a filtration on the Grothendieck ring of triangulated categories, we define the motivic categorical dimension of a birational map between smooth projective varieties. We show that birational transformations of bounded motivic categorical dimension form subgroups, which provide a nontrivial filtration of the Cremona group. We discuss some geometrical aspect and some explicit example. We can moreover define, in some cases, the genus of a birational transformation, and compare it to the one defined by Frumkin in the case of threefolds.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47672938","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
An asymptotic formula for the $2k$-th power mean value of $|(L^{prime}/L)(1+it_0, chi)|$ $|（L^｛prime｝/L）（1+it_0，chi）的$2k次幂均值的一个渐近公式|$
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-04-09 DOI: 10.2969/JMSJ/79987998
Kohji Matsumoto, S. S. Eddin
{"title":"An asymptotic formula for the $2k$-th power mean value of $|(L^{prime}/L)(1+it_0, chi)|$","authors":"Kohji Matsumoto, S. S. Eddin","doi":"10.2969/JMSJ/79987998","DOIUrl":"https://doi.org/10.2969/JMSJ/79987998","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44189437","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
On a density property of the residual order of $a pmod{pq}$ 关于$apmod｛pq｝剩余阶的密度性质$
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-04-01 DOI: 10.2969/JMSJ/82968296
L. Murata
{"title":"On a density property of the residual order of $a pmod{pq}$","authors":"L. Murata","doi":"10.2969/JMSJ/82968296","DOIUrl":"https://doi.org/10.2969/JMSJ/82968296","url":null,"abstract":"We consider a distribution property of the residual order (the multiplicative order) of the residue class $a hspace{-.4em} pmod{pq}$. It is known that the residual order fluctuates irregularly and increases quite rapidly. We are interested in how the residual orders $a hspace{-.4em} pmod{pq}$ distribute modulo 4 when we fix $a$ and let $p$ and $q$ vary. In this paper we consider the set $S(x) = {(p, q); p, q text{are distinct primes,} pq leq x }$, and calculate the natural density of the set ${(p, q) in S(x); text{the residual order of} a hspace{-.4em} pmod{pq} equiv l hspace{-.4em} pmod{4}}$. We show that, under a simple assumption on $a$, these densities are ${5/9,, 1/18,, 1/3,, 1/18 }$ for $l= {0, 1, 2, 3 }$, respectively. For $l = 1, 3$ we need Generalized Riemann Hypothesis.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48048424","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
Counting elliptic fibrations on K3 surfaces K3曲面上椭圆纤维的计数
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-02-18 DOI: 10.2969/jmsj/88178817
Dino Festi, Davide Cesare Veniani
{"title":"Counting elliptic fibrations on K3 surfaces","authors":"Dino Festi, Davide Cesare Veniani","doi":"10.2969/jmsj/88178817","DOIUrl":"https://doi.org/10.2969/jmsj/88178817","url":null,"abstract":"We solve the problem of counting jacobian elliptic fibrations on an arbitrary complex projective K3 surface up to automorphisms. We then illustrate our method with several explicit examples.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47131814","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
Some sharp null-form type estimates for the Klein–Gordon equation Klein-Gordon方程的一些明显的零形式估计
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-02-05 DOI: 10.2969/jmsj/86418641
Jayson Cunanan, Shobu Shiraki
{"title":"Some sharp null-form type estimates for the Klein–Gordon equation","authors":"Jayson Cunanan, Shobu Shiraki","doi":"10.2969/jmsj/86418641","DOIUrl":"https://doi.org/10.2969/jmsj/86418641","url":null,"abstract":"We establish a sharp bilinear estimate for the Klein–Gordon propagator in the spirit of recent work of Beltran–Vega. Our approach is inspired by work in the setting of the wave equation due to Bez, Jeavons and Ozawa. As a consequence of our main bilinear estimate, we deduce several sharp estimates of null-form type and recover some sharp Strichartz estimates found by Quilodrán and Jeavons.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43664170","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
Note on bi-exactness for creation operators on Fock spaces 关于Fock空间上创建算子的双精确性的注记
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2021-01-26 DOI: 10.2969/jmsj/86338633
K. Hasegawa, Yusuke Isono, T. Kanda
{"title":"Note on bi-exactness for creation operators on Fock spaces","authors":"K. Hasegawa, Yusuke Isono, T. Kanda","doi":"10.2969/jmsj/86338633","DOIUrl":"https://doi.org/10.2969/jmsj/86338633","url":null,"abstract":"In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previous work, in which we studied the case of anti-symmetric Fock spaces. As a result, we obtain new examples of solid actions as well as new proofs for some known solid actions. We also study free wreath product groups in the same context.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41525704","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
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