Supersingular curves on Picard modular surfaces modulo an inert prime
Number Theory
2016-07-15 v1
Abstract
We study the supersingular curves on Picard modular surfaces modulo a prime which is inert in the underlying quadratic imaginary field. We analyze the automorphic vector bundles in characteristic , 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.
Cite
@article{arxiv.1607.04170,
title = {Supersingular curves on Picard modular surfaces modulo an inert prime},
author = {Ehud de Shalit and Eyal Goren},
journal= {arXiv preprint arXiv:1607.04170},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1412.5494