Supersingular curves on Picard modular surfaces modulo an inert prime

Ehud de Shalit*, Eyal Z. Goren

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)391-421
Number of pages31
JournalJournal of Number Theory
Volume171
DOIs
StatePublished - 1 Feb 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

  • Hasse invariant
  • Picard modular surface
  • Supersingular locus

Fingerprint

Dive into the research topics of 'Supersingular curves on Picard modular surfaces modulo an inert prime'. Together they form a unique fingerprint.

Cite this