Article ID Journal Published Year Pages File Type
6415310 Journal of Number Theory 2017 31 Pages PDF
Abstract

We study the supersingular curves on Picard modular surfaces modulo a prime p which is inert in the underlying quadratic imaginary field. We analyze the automorphic vector bundles in characteristic p, and as an application derive a formula relating the number of irreducible components in the supersingular locus to the second Chern class of the surface.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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