Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic

DOI10.2140/pjm.2023.324.71zbMath1530.14013arXiv2104.00197OpenAlexW3140528558WikidataQ122724705 ScholiaQ122724705MaRDI QIDQ6112914

Makoto Enokizono

Publication date: 10 July 2023

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

Full work available at URL: https://arxiv.org/abs/2104.00197

zbMATH Keywords

plane curveextension theoremvanishing theoremadjoint linear system

Mathematics Subject Classification ID

Rational points (14G05) Vanishing theorems in algebraic geometry (14F17) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The volume of an isolated singularity
• Effective Matsusaka's theorem for surfaces in characteristic \(p\)
• Families of meromorphic functions on compact Riemann surfaces
• On elliptic surfaces in characteristic p
• Chain-connected component decomposition of curves on surfaces
• Extension of morphisms defined on a divisor
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• Canonical models of surfaces of general type in positive characteristic
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Unstable vector bundles and linear systems on surfaces in characteristic p
• On \((n-1)\)-dimensional projective spaces contained in the Grassmann variety \(\mathrm{Gr}(n,1)\)
• Crystalline cohomology: A survey
• The \(d\)-very ampleness on a projective surface in positive characteristic
• Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties
• Smoothness, semi-stability and alterations
• Smooth rational surfaces violating Kawamata-Viehweg vanishing
• Free pencils on divisors
• Bogomolov's inequality for Higgs sheaves in positive characteristic
• Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3
• Counterexamples to Fujita's conjecture on surfaces in positive characteristic
• Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics
• Foundations of the minimal model program
• Spécialisation du foncteur de Picard
• Canonical models of surfaces of general type
• Regular del Pezzo surfaces with irregularity
• On connected divisors
• The X-method for klt surfaces in positive characteristic
• On the adjunction theoretic structure of projective varieties
• Néron Models
• Projective Models of K - 3 Surfaces
• Special Linear Systems on Curves Lying on a K 3 Surface
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC
• Pathologies III

This page was built for publication: Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic