On Fujita's conjecture

DOI10.1215/S0012-7094-97-08807-4zbMath0876.14004WikidataQ29393453 ScholiaQ29393453MaRDI QIDQ1362073

Stefan Helmke

Publication date: 20 November 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ample line bundleadjoint linear systemglobal generation of adjoint bundle

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Related Items (20)

Linear Systems on Fano Threefolds. I ⋮ Counterexamples to Fujita's conjecture on surfaces in positive characteristic ⋮ Global generation of adjoint line bundles on projective 5-folds ⋮ ON MAŞEK'S CRITERION ON VERY AMPLENESS ⋮ Unnamed Item ⋮ Remarks on the pluricanonical and the adjoint linear series on projective threefolds ⋮ Upper bound of multiplicity of F-pure rings ⋮ Bridgeland stability conditions on threefolds II: An application to Fujita’s conjecture ⋮ On the number of compatibly Frobenius split subvarieties, prime \(F\)-ideals, and log canonical centers ⋮ Fujita's conjecture for quasi‐elliptic surfaces ⋮ Angehrn-Siu-Helmke’s method applied to abelian varieties ⋮ Logarithmic bounds on Fujita's conjecture ⋮ Quartic-canonical systems on canonical threefolds of index 1 ⋮ A remark on higher syzygies on abelian surfaces ⋮ On the effective freeness of the direct images of pluricanonical bundles ⋮ On Fujita's freeness conjecture in dimension 5 ⋮ Ladders on Fano varieties ⋮ A base point free theorem of Reid type. II ⋮ Depth of multiplier ideals, vanishing theorem and multiplicity of minimal centers ⋮ Cohomological rank functions and syzygies of abelian varieties

Cites Work

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• A numerical criterion for very ample line bundles
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Effective freeness and point separation for adjoint bundles
• Effective very ampleness
• Local positivity of ample line bundles
• Global Generation of Pluricanonical and Adjoint Linear Series on Smooth Projective Threefolds
• On the Finiteness of Generators of a Pluri-Canonical Ring for a 3-Fold of General Type
• THE NONVANISHING THEOREM
• Vanishing theorems.
• LOG CANONICAL MODELS OF ALGEBRAIC 3-FOLDS
• 3-FOLD LOG FLIPS
• Bounds for Seshadri Constants
• Subadjunction of log canonical divisors for a subvariety of codimension 2
• Effective base point freeness

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