Smooth rational surfaces violating Kawamata-Viehweg vanishing

Abstract

We show that over any algebraically closed field of positive characteristic, there exists a smooth rational surface which violates Kawamata-Viehweg vanishing.

17 pages, v2: minor revisions

References in corpus (1)

• Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini