The Verlinde bundles and the semihomogeneous Wirtinger duality

被引：8

作者：

Oprea, Dragos ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math, San Diego, CA 92103 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2011年 / 654卷

关键词：

VECTOR-BUNDLES; MODULI SPACES; STRANGE DUALITY; PICARD GROUP;

D O I：

10.1515/CRELLE.2011.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the splitting type of the Verlinde vector bundles in higher genus in terms of simple semihomogeneous factors. In agreement with strange duality, the simple factors are interchanged by the Fourier-Mukai transform, and their spaces of sections are naturally dual.

引用

页码：181 / 217

页数：37

共 22 条

[1] Alekseev A., 2000, FORMULAS VERLINDE TY
[2] Involutions on moduli spaces and refinements of the Verlinde formula
Andersen, JE
Masbaum, G
[J]. MATHEMATISCHE ANNALEN, 1999, 314 (02) : 291 - 326
[3] ATIYAH MF, 1968, ANN MATH, V87, P546, DOI 10.2307/1970717
[4] Atiyah MF., 1957, Proc. London Math. Soc., V7, P414, DOI 10.1112/plms/s3-7.1.414
[5] The Picard group of the moduli of G-bundles on a curve
Beauville, A
Laszlo, Y
Sorger, C
[J]. COMPOSITIO MATHEMATICA, 1998, 112 (02) : 183 - 216
[6] Beauville A., 1997, ADV SER MATH PHYS WO, V24, P141
[7] Belkale P, 2008, J AM MATH SOC, V21, P235
[8] Belkale P, 2009, J DIFFER GEOM, V82, P445
[9] HILBERT POLYNOMIALS OF MODULI SPACES OF RANK-2 - VECTOR BUNDLES-II
BERTRAM, A
SZENES, A
[J]. TOPOLOGY, 1993, 32 (03) : 599 - 609
[10] BIRKENHAKE C, 1992, COMPLEX ABELIAN VARI

← 1 2 3 →