A Frobenius variant of Seshadri constants

DOI10.1007/s00208-013-0976-4zbMath1296.14007arXiv1203.1081OpenAlexW3106215370MaRDI QIDQ2448331

Karl Schwede, Mircea Mustaţă

Publication date: 30 April 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1081

zbMATH Keywords

Seshadri constantglobally generatedFrobenius-Seshadri constant

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (6)

Counterexamples to Fujita's conjecture on surfaces in positive characteristic ⋮ Fano varieties with large Seshadri constants in positive characteristic ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems ⋮ Positive characteristic algebraic geometry ⋮ On the three dimensional minimal model program in positive characteristic

Cites Work

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• Seshadri constants via toric degenerations
• Generation of \(k\)-jets on toric varieties
• Frobenius splitting methods in geometry and representation theory
• Local positivity of ample line bundles
• Introduction to Toric Varieties. (AM-131)
• A primer on Seshadri constants
• Characterizations of Regular Local Rings of Characteristic p

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