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Journal of Mathematics of Kyoto University最新文献

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Locally nilpotent derivations on modules 模上的局部幂零导数
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983033
Mikiya Tanaka
{"title":"Locally nilpotent derivations on modules","authors":"Mikiya Tanaka","doi":"10.1215/KJM/1248983033","DOIUrl":"https://doi.org/10.1215/KJM/1248983033","url":null,"abstract":"We extend a locally nilpotent derivation $delta$ on a ring $B$ to $B$-modules $M$ and investigate the properties of such $B$-modules $M$. It turns out that the various geometric properties of the associated $G_a$-action on Spec $B$ can be reflected on the properties of $M$.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"108 1","pages":"131-159"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
A shallow water approximation for water waves 对水波的浅水近似
Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983028
T. Iguchi
{"title":"A shallow water approximation for water waves","authors":"T. Iguchi","doi":"10.1215/KJM/1248983028","DOIUrl":"https://doi.org/10.1215/KJM/1248983028","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"13-55"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1248983028","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 59
Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential 小孤立波对一维非线性Schrödinger方程的渐近稳定性
Journal of Mathematics of Kyoto University Pub Date : 2008-12-01 DOI: 10.1215/KJM/1250271380
Tetsu Mizumachi
{"title":"Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential","authors":"Tetsu Mizumachi","doi":"10.1215/KJM/1250271380","DOIUrl":"https://doi.org/10.1215/KJM/1250271380","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"471-497"},"PeriodicalIF":0.0,"publicationDate":"2008-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 43
Brownian motion conditioned to stay in a cone 布朗运动被限制在一个锥体上
Journal of Mathematics of Kyoto University Pub Date : 2008-11-25 DOI: 10.1215/KJM/1260975039
Rodolphe Garbit
{"title":"Brownian motion conditioned to stay in a cone","authors":"Rodolphe Garbit","doi":"10.1215/KJM/1260975039","DOIUrl":"https://doi.org/10.1215/KJM/1260975039","url":null,"abstract":"A result of R. Durrett, D. Iglehart and D. Miller states that Brownian meander is Brownian motion conditioned to stay positive for a unit of time, in the sense that it is the weak limit, as $x$ goes to $0$, of Brownian motion started at $x>0$ and conditioned to stay positive for a unit of time. We extend this limit theorem to the case of multidimensional Brownian motion conditioned to stay in a smooth convex cone.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"573-592"},"PeriodicalIF":0.0,"publicationDate":"2008-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66114019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
On a generalization of Massey products 关于Massey积的推广
Journal of Mathematics of Kyoto University Pub Date : 2008-11-25 DOI: 10.1215/KJM/1250271388
T. Mizuno
{"title":"On a generalization of Massey products","authors":"T. Mizuno","doi":"10.1215/KJM/1250271388","DOIUrl":"https://doi.org/10.1215/KJM/1250271388","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"27 1","pages":"639-659"},"PeriodicalIF":0.0,"publicationDate":"2008-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250271388","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Flips and variation of moduli scheme of sheaves on a surface 表面上轮轴模格式的翻转和变化
Journal of Mathematics of Kyoto University Pub Date : 2008-11-21 DOI: 10.1215/KJM/1256219165
Kimiko Yamada
{"title":"Flips and variation of moduli scheme of sheaves on a surface","authors":"Kimiko Yamada","doi":"10.1215/KJM/1256219165","DOIUrl":"https://doi.org/10.1215/KJM/1256219165","url":null,"abstract":"Let $H$ be an ample line bundle on a non-singular projective surface $X$, and $M(H)$ the coarse moduli scheme of rank-two $H$-semistable sheaves with fixed Chern classes on $X$. We show that if $H$ changes and passes through walls to get closer to $K_X$, then $M(H)$ undergoes natural flips with respect to canonical divisors. When $X$ is minimal and its Kodaira dimension is positive, this sequence of flips terminates in $M(H_X)$; $H_X$ is an ample line bundle lying so closely to $K_X$ that the canonical divisor of $M(H_X)$ is nef. Remark that so-called Thaddeus-type flips somewhat differ from flips with respect to canonical divisors.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"419-425"},"PeriodicalIF":0.0,"publicationDate":"2008-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
The Faltings-Moriwaki modular height and isogenies of elliptic curves 椭圆曲线的Faltings-Moriwaki模高度与等同性
Journal of Mathematics of Kyoto University Pub Date : 2008-09-24 DOI: 10.1215/KJM/1250271389
H. Ikoma
{"title":"The Faltings-Moriwaki modular height and isogenies of elliptic curves","authors":"H. Ikoma","doi":"10.1215/KJM/1250271389","DOIUrl":"https://doi.org/10.1215/KJM/1250271389","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"661-682"},"PeriodicalIF":0.0,"publicationDate":"2008-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence of dependent walks in a random scenery to fBm-local time fractional stable motions 随机环境中相关行走收敛于fbm -局部时间分数阶稳定运动
Journal of Mathematics of Kyoto University Pub Date : 2008-05-20 DOI: 10.1215/KJM/1256219156
Serge Cohen, C. Dombry
{"title":"Convergence of dependent walks in a random scenery to fBm-local time fractional stable motions","authors":"Serge Cohen, C. Dombry","doi":"10.1215/KJM/1256219156","DOIUrl":"https://doi.org/10.1215/KJM/1256219156","url":null,"abstract":"It is classical to approximate the distribution of fractional Brownian motion by a renormalized sum $ S_n $ of dependent Gaussian random variables. In this paper we consider such a walk $ Z_n $ that collects random rewards $ xi_j $ for $ j in mathbb Z,$ when the ceiling of the walk $ S_n $ is located at $ j.$ The random reward (or scenery) $ xi_j $ is independent of the walk and with heavy tail. We show the convergence of the sum of independent copies of $ Z_n$ suitably renormalized to a stable motion with integral representation, whose kernel is the local time of a fractional Brownian motion (fBm). This work extends a previous work where the random walk $ S_n$ had independent increments limits.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"267-286"},"PeriodicalIF":0.0,"publicationDate":"2008-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66113584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
On the image of code polynomials under theta map 在映射下的码多项式的图像上
Journal of Mathematics of Kyoto University Pub Date : 2008-03-31 DOI: 10.1215/KJM/1250271322
M. Oura, R. Manni
{"title":"On the image of code polynomials under theta map","authors":"M. Oura, R. Manni","doi":"10.1215/KJM/1250271322","DOIUrl":"https://doi.org/10.1215/KJM/1250271322","url":null,"abstract":"The theta map sends code polynomials into the ring of Siegel modular forms of even weights. Explicit description of the image is known for g ≤ 3 and the surjectivity of the theta map follows. Instead it is known that this map is not surjective for g ≥ 5. In this paper we discuss the possibility of an embedding between the associated projective varieties. We prove that this is not possible for g ≥ 4 and consequently we get the non surjectivity of the graded rings for the remaining case g = 4.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"895-906"},"PeriodicalIF":0.0,"publicationDate":"2008-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Fundamental groups of symmetric sextics 对称性的基本群
Journal of Mathematics of Kyoto University Pub Date : 2008-03-21 DOI: 10.1215/KJM/1250271318
A. Degtyarev
{"title":"Fundamental groups of symmetric sextics","authors":"A. Degtyarev","doi":"10.1215/KJM/1250271318","DOIUrl":"https://doi.org/10.1215/KJM/1250271318","url":null,"abstract":"We study the moduli spaces and compute the fundamental groups of plane sextics of torus type with at least two type E6 singular points. As a simple application, we compute the fundamental groups of 125 other sextics, most of which are new.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"765-792"},"PeriodicalIF":0.0,"publicationDate":"2008-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
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