The Picard rank of an Enriques surface

Christian Liedtke
2017 Mathematical Research Letters  
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.
doi:10.4310/mrl.2017.v24.n6.a8 fatcat:uq57yzdjenaovoyto7gvrdujwm