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Journal of Mathematics of Kyoto University最新文献

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Mod 2 cohomology of 2-compact groups of low rank 低秩2紧群的模2上同调
Journal of Mathematics of Kyoto University Pub Date : 2007-10-31 DOI: 10.1215/kjm/1250281055
S. Kaji
{"title":"Mod 2 cohomology of 2-compact groups of low rank","authors":"S. Kaji","doi":"10.1215/kjm/1250281055","DOIUrl":"https://doi.org/10.1215/kjm/1250281055","url":null,"abstract":"A bstract . We determine the mod 2 cohomology over the Steenrod algebra A 2 of the classifying spaces of the free loop groups LG for compact groups G = Spin (7), Spin (8), Spin (9), and F 4 . Then, we show that they are isomorphic as algebras over A 2 to the mod 2 cohomology of the corresponding Chevalley groups of type G ( q ), where q is an odd prime power. In a similar manner, we compute the cohomology of the free loop space over BDI (4) and show that it is isomorphic to that of BSol ( q ) as algebras over A 2 . This note is a revised version of [8].","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"47 1","pages":"441-450"},"PeriodicalIF":0.0,"publicationDate":"2007-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088659","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: 1
A Babylonian tower theorem for principal bundles over projective spaces 射影空间上主束的巴比伦塔定理
Journal of Mathematics of Kyoto University Pub Date : 2007-10-22 DOI: 10.1215/KJM/1248983030
I. Biswas, I. Coandă, G. Trautmann
{"title":"A Babylonian tower theorem for principal bundles over projective spaces","authors":"I. Biswas, I. Coandă, G. Trautmann","doi":"10.1215/KJM/1248983030","DOIUrl":"https://doi.org/10.1215/KJM/1248983030","url":null,"abstract":"We generalise the variant of the Babylonian tower theorem for vector bundles on projective spaces proved by I. Coanda and G. Trautmann (2006) to the case of principal $G$-bundles over projective spaces, where $G$ is a linear algebraic group defined over an algebraically closed field. In course of the proofs some new insight into the structure of such principal $G$-bundles is obtained.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"69-82"},"PeriodicalIF":0.0,"publicationDate":"2007-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087207","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: 1
K3 surfaces of finite height over finite fields 有限域上有限高的K3曲面
Journal of Mathematics of Kyoto University Pub Date : 2007-09-13 DOI: 10.1215/KJM/1250271381
J.-D. Yu, N. Yui
{"title":"K3 surfaces of finite height over finite fields","authors":"J.-D. Yu, N. Yui","doi":"10.1215/KJM/1250271381","DOIUrl":"https://doi.org/10.1215/KJM/1250271381","url":null,"abstract":"Arithmetic of K3 surfaces defined over finite fields is investigated. In particular, we show that any K3 surface of finite height over a finite field k of characteristic p > 3 has a quasi-canonical lifting to characteristic 0, and that for any such lifting, the endormorphism algebra of the transcendental cycles, as a Hodge module, is a CM field. The Tate conjecture for the product of certain two K3 surfaces is also proved. We illustrate by examples how to determine explicitly the formal Brauer group associated to a K3 surface over k. Examples discussed here are all of hypergeometric type.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"499-519"},"PeriodicalIF":0.0,"publicationDate":"2007-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088073","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: 10
A sequence of blowing-ups connecting moduli of sheaves and the Donaldson Polynomial under change of polarization 极化变化下轮轴模与Donaldson多项式的一串爆破
Journal of Mathematics of Kyoto University Pub Date : 2007-04-22 DOI: 10.1215/KJM/1250281738
Kimiko Yamada
{"title":"A sequence of blowing-ups connecting moduli of sheaves and the Donaldson Polynomial under change of polarization","authors":"Kimiko Yamada","doi":"10.1215/KJM/1250281738","DOIUrl":"https://doi.org/10.1215/KJM/1250281738","url":null,"abstract":"Let $H$ and $H'$ be two ample line bundles over a nonsingular projective surface $X$, and $M(H)$ (resp. $M(H')$) the coarse moduli scheme of $H$-semistable (resp. $H'$-semistable) sheaves of fixed type $(r=2,c_1,c_2)$. In a moduli-theoretic way that comes from elementary transforms, we connect $M(H)$ and $M(H')$ by a sequence of blowing-ups when walls separating $H$ and $H'$ are not necessarily good. As an application, we also consider the polarization change problem of Donaldson polynomials.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"43 1","pages":"829-878"},"PeriodicalIF":0.0,"publicationDate":"2007-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66089348","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
A global approach to the theory of special finsler manifolds 特殊finsler流形理论的全局方法
Journal of Mathematics of Kyoto University Pub Date : 2007-03-31 DOI: 10.1215/KJM/1250271321
N. L. Youssef, S. H. Abed, A. Soleiman
{"title":"A global approach to the theory of special finsler manifolds","authors":"N. L. Youssef, S. H. Abed, A. Soleiman","doi":"10.1215/KJM/1250271321","DOIUrl":"https://doi.org/10.1215/KJM/1250271321","url":null,"abstract":"The aim of the present paper is to provide a global presentation of the theory of special Finsler manifolds. We introduce and investigate globally (or in- trinsically, free from local coordinates) many of the most important and most com- monly used special Finsler manifolds: locally Minkowskian, Berwald, Landesberg, general Landesberg, P-reducible, C-reducible, semi-C-reducible, quasi-C-reducible, P ∗ -Finsler, C h -recurrent, C v -recurrent, C 0 -recurrent, S v -recurrent, S v -recurrent of the second order, C2-like, S3-like, S4-like, P2-like, R3-like, P-symmetric, h-isotropic, of scalar curvature, of constant curvature, of p-scalar curvature, of s-ps-curvature. The global definitions of these special Finsler manifolds are introduced. Various relationships between the different types of the considered special Finsler manifolds are found. Many local results, known in the literature, are proved globally and several new results are obtained. As a by-product, interesting identities and properties concerning the torsion tensor fields and the curvature tensor fields are deduced. Although our investigation is entirely global, we provide; for comparison rea- sons, an appendix presenting a local counterpart of our global approach and the local definitions of the special Finsler spaces considered. 1","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"5 1","pages":"857-893"},"PeriodicalIF":0.0,"publicationDate":"2007-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087897","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: 27
The group homology and an algebraic version of the zero-in-the-spectrum conjecture 群同调和谱中零猜想的代数版本
Journal of Mathematics of Kyoto University Pub Date : 2007-03-23 DOI: 10.1215/KJM/1250281050
Shin-ichi Oguni
{"title":"The group homology and an algebraic version of the zero-in-the-spectrum conjecture","authors":"Shin-ichi Oguni","doi":"10.1215/KJM/1250281050","DOIUrl":"https://doi.org/10.1215/KJM/1250281050","url":null,"abstract":"We introduce an algorithm which transforms a finitely presented group G into another one G Ψ . By using this, we can get many finitely presented groups whose group homology with coefficients in the group von Neumann algebra vanish, that is, many counterexamples to an algebraic version of the zero-in-the-spectrum conjecture. Moreover we prove that the Baum-Connes conjecture does not imply the algebraic version of the zero-in-the-spectrum conjecture for finitely presented groups. Also we will show that for any p ≥ 3 the p -th group homology of G Ψ coming from free groups has infinite rank.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"47 1","pages":"359-369"},"PeriodicalIF":0.0,"publicationDate":"2007-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66089067","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: 1
Fujita’s approximation theorem in positive charactristics 正性质下的藤田近似定理
Journal of Mathematics of Kyoto University Pub Date : 2007-03-23 DOI: 10.1215/KJM/1250281075
S. Takagi
{"title":"Fujita’s approximation theorem in positive charactristics","authors":"S. Takagi","doi":"10.1215/KJM/1250281075","DOIUrl":"https://doi.org/10.1215/KJM/1250281075","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"47 1","pages":"179-202"},"PeriodicalIF":0.0,"publicationDate":"2007-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250281075","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088889","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: 29
Instructive examples of smooth complex differentiable and complex analytic mappings into locally convex spaces 局部凸空间的光滑复可微映射和复解析映射的指导性例子
Journal of Mathematics of Kyoto University Pub Date : 2007-01-06 DOI: 10.1215/KJM/1250281028
Helge Glöckner
{"title":"Instructive examples of smooth complex differentiable and complex analytic mappings into locally convex spaces","authors":"Helge Glöckner","doi":"10.1215/KJM/1250281028","DOIUrl":"https://doi.org/10.1215/KJM/1250281028","url":null,"abstract":"For each positive integer k, we describe a map f from the complex plane to a suitable non-complete complex locally convex space such that f is k times continuously complex differentiable but not k+1 times, and hence not complex analytic. We also describe a complex analytic map from l^1 to a suitable complete complex locally convex space which is unbounded on each non-empty open subset of l^1. Furthermore, we present a smooth map from the real line to a non-complete locally convex space which is not real analytic although it is given locally by its Taylor series around each point. As a byproduct, we find that free locally convex spaces over subsets of the complex plane with non-empty interior are not Mackey complete.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"47 1","pages":"631-642"},"PeriodicalIF":0.0,"publicationDate":"2007-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088528","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: 4
Exact controllability of a Timoshenko beam with dynamical boundary 具有动力边界的Timoshenko光束的精确可控性
Journal of Mathematics of Kyoto University Pub Date : 2007-01-01 DOI: 10.1215/KJM/1250281029
Chun-guo Zhang, Hongrui Hu
{"title":"Exact controllability of a Timoshenko beam with dynamical boundary","authors":"Chun-guo Zhang, Hongrui Hu","doi":"10.1215/KJM/1250281029","DOIUrl":"https://doi.org/10.1215/KJM/1250281029","url":null,"abstract":"We consider the exact controllability of a Timoshenko beam system, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by two partial differential equations and two ordinary differential equations. Using the HUM method, we show that the system is exactly controllable in the usual energy space.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"47 1","pages":"643-655"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250281029","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088539","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: 7
A remark on pseudoconvex domains with analytic complements in compact Kähler manifolds 紧Kähler流形中具有解析补的伪凸域的注释
Journal of Mathematics of Kyoto University Pub Date : 2007-01-01 DOI: 10.1215/KJM/1250281070
T. Ohsawa
{"title":"A remark on pseudoconvex domains with analytic complements in compact Kähler manifolds","authors":"T. Ohsawa","doi":"10.1215/KJM/1250281070","DOIUrl":"https://doi.org/10.1215/KJM/1250281070","url":null,"abstract":"For an effective divisor A with support B in a compact K¨ahler manifold M of dimension ≥ 3, the following are antinomic. a) M B has a C ∞ plurisubharmonic exhaustion function whose Levi form has pointwise at least 3 positive eigenvalues outside a compact subset of M B . b) [ A ] | B , the normal bundle of A , is topologically trivial.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"47 1","pages":"115-119"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250281070","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088799","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: 15
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