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.
Original language | English |
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Pages (from-to) | 391-421 |
Number of pages | 31 |
Journal | Journal of Number Theory |
Volume | 171 |
DOIs | |
State | Published - 1 Feb 2017 |
Bibliographical note
Publisher Copyright:© 2016 Elsevier Inc.
Keywords
- Hasse invariant
- Picard modular surface
- Supersingular locus