Remarks on the pluricanonical and the adjoint linear series on projective threefolds

DOI10.1080/00927879908826708zbMath0972.14036OpenAlexW2006495235MaRDI QIDQ4262386

Seunghun Lee

Publication date: 30 October 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826708

zbMATH Keywords

pluricanonical linear seriesadjoint linear seriescrepant projective birational morphismmild singularitiesKawamata log terminal threefold

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (3)-folds (14J30) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (9)

Kawamata-viehweg vanishing and quint-canonical map of a complex threefold ⋮ Linear Systems on Fano Threefolds. I ⋮ Global generation of adjoint line bundles on projective 5-folds ⋮ ON MAŞEK'S CRITERION ON VERY AMPLENESS ⋮ Quartic-canonical systems on canonical threefolds of index 1 ⋮ Canonical Stability of 3-Folds of General Type with p_g ≥ 3 ⋮ On Fujita's freeness conjecture in dimension 5 ⋮ Examples of birationality of pluricanonical maps ⋮ The 5-canonical system on 3-folds of general type

Cites Work

• Unnamed Item
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• On pluricanonical maps for threefolds of general type
• Double covers of smooth hyperquadrics as ample and very ample divisors
• On Fujita's conjecture
• On Fujita's freeness conjecture for 3-folds and 4-folds
• Effective freeness and point separation for adjoint bundles
• Minimal models and the Kodaira dimension of algebraic fiber spaces.
• Kawamata-viehweg vanishing and quint-canonical map of a complex threefold
• GLOBAL GENERATION OF LINEAR SERIES ON TERMINAL THREEFOLDS
• Multiplier Ideals, Vanishing Theorem and Applications
• Effective base point freeness
• Effective base point freeness

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