The generalized Verschiebung map for curves of genus 2
Abstract
Description
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.
21 pages. Contents of chapter IV of PhD thesis, Massachusetts Institute of Technology, 2004
21 pages. Contents of chapter IV of PhD thesis, Massachusetts Institute of Technology, 2004