The Generalized Verschiebung Map for Curves of Genus 2
نویسنده
چکیده
Let C be a smooth curve, and Mr(C) the coarse moduli space of vector bundles of rank r and trivial determinant on C. We examine the generalized Verschiebung map Vr : Mr(C) 99K Mr(C) induced by pulling back under Frobenius. Our main result is a computation of the degree of V2 for a general C of genus 2, in characteristic p > 2. We also give several general background results on the Verschiebung in an appendix.
منابع مشابه
Frobenius-unstable Vector Bundles and the Generalized Verschiebung
Let C be a smooth curve, and Mr(C) the coarse moduli space of vector bundles of rank r and trivial determinant on C. We discuss the generalized Verschiebung map Vr : Mr(C) 99K Mr(C) induced by pulling back under Frobenius. We begin with a survey of general background results on the Verschiebung, as well as certain more specialized work in fixed genus, characteristic, and rank. We then discuss t...
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تاریخ انتشار 2006