Reconstructing vector bundles on curves from their direct image on symmetric powers

被引：8

作者：

Biswas, Indranil ^{[1
]}

Nagaraj, D. S. ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

ARCHIV DER MATHEMATIK | 2012年 / 99卷 / 04期

关键词：

Symmetric power; Direct image; Curve;

D O I：

10.1007/s00013-012-0440-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let C be an irreducible smooth complex projective curve, and let E be an algebraic vector bundle of rank r on C. Associated to E, there are vector bundles of rank nr on S (n) (C), where S (n) (C) is the n-th symmetric power of C. We prove the following: Let E (1) and E (2) be two semistable vector bundles on C, with genus . If for a fixed n, then .

引用

页码：327 / 331

页数：5