A tight closure proof of Fujita's freeness conjecture for very ample line bundles

DOI10.1007/s002080000094zbMath0976.14006OpenAlexW2090758802WikidataQ123151818 ScholiaQ123151818MaRDI QIDQ1574446

Karen E. Smith

Publication date: 27 December 2001

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

Full work available at URL: http://hdl.handle.net/2027.42/41935

zbMATH Keywords

tight closureFujita's conjecture

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Integral closure of commutative rings and ideals (13B22) Divisors, linear systems, invertible sheaves (14C20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (5)

Counterexamples to Fujita's conjecture on surfaces in positive characteristic ⋮ Fujita's very ampleness conjecture for singular toric varieties ⋮ Inequalities of Chern classes on nonsingular projective \(n\)-folds with ample canonical or anti-canonical line bundles ⋮ Strong test ideals ⋮ \(\star\)-independence and special tight closure.

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