Moduli of simple holomorphic pairs and effective divisors

被引：0
作者：
Siegmund Kosarew
Paul Lupascu
机构：
[1] Université de Grenoble 1,Institut Fourier
[2] Universität Zürich,Mathematisches Institut
来源：
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2000年 / 70卷
关键词：
moduli spaces; simple holomorphic pairs; divisors; semiconnections; holomorphic structures;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note we identify two complex structures (one is given by algebraic geometry, the other by gauge theory) on the set of isomorphism classes of holomorphic bundles with section on a given compact complex manifold. In the case ofline bundles, these complex spaces are shown to be isomorphic to a space of effective divisors on the manifold.
引用
收藏
页码：265 / 274
页数：9
相关论文
共 14 条
[1]  
Atiyah M.(1978)Self-duality in fourdimensional Riemannian geometry Proc. R. Soc. Lond. A 362 425-461
[2]  
Hitchin N.(1980)Darstellbarkeitskriterien für analytische Funktoren Ann. scient. Éc. Norm. Sup. 4e série 13 317-347
[3]  
Singer I.(1980)Offenheit der Versalität in der analytischen Geometrie Math. Z. 173 241-281
[4]  
Bingener J.(1966)Le problème des modules pour les sous-espaces analytiques compacts d’une espace analytique donné Ann. Inst. Fourier Grenoble 16 1-95
[5]  
Bingener J.(1981)Eine Bemerkung über relative Ext-Garben Math. Ann. 258 175-182
[6]  
Douady A.(1982)Projectivity of the Space of Divisors on a Normal Compact Complex Space Publ. R.I.M.S., Kyoto Univ. 18 1163-1173
[7]  
Flenner H.(1989)Global Moduli Spaces and Simple Holomorphic Bundles Publ. R.I.M.S., Kyoto Univ. 25 1-19
[8]  
Fujiki A.(1989)Kuranishi Family of Vector Bundles and Algebraic Description of the Moduli Space of Einstein-Hermitian Connections Publ. R.I.M.S., Kyoto Univ. 25 301-320
[9]  
Kosarew S.(1995)The Coupled Seiberg-Witten Equations, Vortices, Moduli Spaces of Stable Pairs Internat. Journ. Math. vol.6 6 893-910
[10]  
Okonek Ch.(1996)The analytic moduli space of simple framed holomorphic pairs Kyushu J. Math. 50 65-82
12