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.

arXiv comment17 pages, v2: minor revisions

References in corpus (3)

• Behavior of canonical divisors under purely inseparable base changes
• Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini
• Minimal model program for excellent surfaces