Effective Matsusaka's theorem for surfaces in characteristic \(p\)

DOI10.2140/ant.2015.9.1453zbMath1386.14133arXiv1501.07299OpenAlexW1779503456MaRDI QIDQ500229

Andrea Fanelli, Gabriele Di Cerbo

Publication date: 1 October 2015

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07299

zbMATH Keywords

bend-and-breakBogomolov's stabilityeffective Kawamata-Viehweg vanisihngeffective Matsusaka's theoremFujita's conjecturesReider's theoremsurfaces in positive characteristic

Mathematics Subject Classification ID

Special surfaces (14J25)

Related Items (12)

Boundedness of log-pluricanonical maps for surfaces of log-general type in positive characteristic ⋮ Counterexamples to Fujita's conjecture on surfaces in positive characteristic ⋮ Counterexamples of Kodaira vanishing for smooth surfaces of general type in positive characteristic ⋮ Fujita's conjecture for quasi‐elliptic surfaces ⋮ Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic ⋮ The \(d\)-very ampleness of adjoint line bundles on quasi-elliptic surfaces ⋮ Actions of \(\mu_p\) on canonically polarized surfaces in characteristic \(p>0\) ⋮ Smooth rational surfaces violating Kawamata-Viehweg vanishing ⋮ Non-normal purely log terminal centres in characteristic \(p \geqslant 3\) ⋮ Non-Cohen-Macaulay canonical singularities ⋮ Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3 ⋮ Positive characteristic algebraic geometry

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