Mathematical Research Letters

Volume 24 (2017)

Number 6

The Picard rank of an Enriques surface

Pages: 1729 – 1737

DOI: https://dx.doi.org/10.4310/MRL.2017.v24.n6.a8

Author

Christian Liedtke (Zentrum Mathematik, Technische Universität, München, Germany)

Abstract

In this note, we use crystalline methods and the Tate-conjecture to give a short proof that the Picard rank of an Enriques surface is equal to its second Betti number.

Full Text (PDF format)

Received 10 June 2016

Accepted 5 August 2016

Published 29 January 2018