Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415310 | Journal of Number Theory | 2017 | 31 Pages |
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
Ehud de Shalit, Eyal Z. Goren,