Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves

被引：1
|
作者：
Lange, H. [1 ]
Newstead, P. E. [2 ]
机构：
[1] Univ Erlangen Nurnberg, Inst Math, D-91054 Erlangen, Germany
[2] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England
来源：
MANUSCRIPTA MATHEMATICA | 2009年 / 130卷 / 01期
关键词：
Primary 14H60; Secondary 14F05; 32L10;
D O I：
10.1007/s00229-009-0276-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider moduli spaces of coherent systems on an elliptic curve. We compute their Hodge polynomials and determine their birational types in some cases. Moreover we prove that certain moduli spaces of coherent systems are isomorphic. This last result uses the Fourier-Mukai transform of coherent systems introduced by Hernandez Ruip,rez and Tejero Prieto.
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收藏
页码：1 / 19
页数：19
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