Fujita's conjecture and Frobenius amplitude

DOI10.1353/ajm.0.0015zbMath1159.14003arXivmath/0606406OpenAlexW3099989770WikidataQ123260389 ScholiaQ123260389MaRDI QIDQ3535012

Dennis S. Keeler

Publication date: 10 November 2008

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

Full work available at URL: https://arxiv.org/abs/math/0606406

zbMATH Keywords

very ampleFujita's conjectureF-amplitudegenerated by global sections

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Divisors, linear systems, invertible sheaves (14C20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) (n)-folds ((n>4)) (14J40)

Related Items (14)

Counterexamples to Fujita's conjecture on surfaces in positive characteristic ⋮ On the simultaneous generation of jets of the adjoint bundles ⋮ Global Frobenius liftability II: surfaces and Fano threefolds ⋮ Discreteness of 𝐹-jumping numbers at isolated non-ℚ-Gorenstein points ⋮ Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Inequalities of Chern classes on nonsingular projective \(n\)-folds with ample canonical or anti-canonical line bundles ⋮ On subadditivity of Kodaira dimension in positive characteristic over a general type base ⋮ Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems ⋮ Bounds on the torsion subgroups of Néron–Severi groups ⋮ Nonvanishing for 3-folds in characteristic \(p>5\) ⋮ Ample filters and Frobenius amplitude ⋮ Positive characteristic algebraic geometry ⋮ Computing Néron–Severi groups and cycle class groups

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