The generalized Verschiebung map for curves of genus 2

被引:17
|
作者
Osserman, Brian [1 ]
机构
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
关键词
D O I
10.1007/s00208-006-0026-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let C be a smooth curve, and M (r) (C) the coarse moduli space of vector bundles of rank r and trivial determinant on C. We examine the generalized Verschiebung map V-r : M-r(C-(p)) -> M-r(C) induced by pulling back under Frobenius. Our main result is a computation of the degree of V (2) for a general C of genus 2, in characteristic p > 2. We also give several general background results on the Verschiebung in an appendix.
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页码:963 / 986
页数:24
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