Kawamata-Viehweg vanishing theorem for del Pezzo surfaces over imperfect fields of characteristic \(p> 3\)

zbMath1468.14029arXiv1709.03237MaRDI QIDQ2046781

Omprokash Das

Publication date: 19 August 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03237

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Canonical models of surfaces of general type in positive characteristic
• Elementary counterexamples to Kodaira vanishing in prime characteristic
• Smooth rational surfaces violating Kawamata-Viehweg vanishing
• Behavior of canonical divisors under purely inseparable base changes
• Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3
• Rational points on log Fano threefolds over a finite field
• Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics
• Weak del Pezzo surfaces with irregularity
• Regular del Pezzo surfaces with irregularity
• On log del Pezzo surfaces in large characteristic
• Minimal model program for excellent surfaces
• Introduction
• Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two
• The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay
• The Hyperplane Sections of Normal Varieties
• Mori dream spaces and GIT.
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