2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73041Let 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, 2004Algebraic Geometry14H60text