The generalized Verschiebung map for curves of genus 2
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0410613,
title = {The generalized Verschiebung map for curves of genus 2},
author = {Brian Osserman},
journal= {arXiv preprint arXiv:math/0410613},
year = {2007}
}
Comments
21 pages. Contents of chapter IV of PhD thesis, Massachusetts Institute of Technology, 2004