Pluricanonical systems of projective varieties of general type. I

zbMath1142.14012MaRDI QIDQ925716

Hajime Tsuji

Publication date: 22 May 2008

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1165850044

zbMATH Keywords

minimal model programmultiplier ideal sheavespluricanonical systemsubadjunction theorem

Mathematics Subject Classification ID

Rational and birational maps (14E05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Minimal model program (Mori theory, extremal rays) (14E30) Embeddings in algebraic geometry (14E25) Plurisubharmonic functions and generalizations (32U05) (n)-folds ((n>4)) (14J40)

Related Items (21)

Boundedness of log-pluricanonical maps for surfaces of log-general type in positive characteristic ⋮ Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs ⋮ Characterization of the 4-canonical birationality of algebraic threefolds. II ⋮ On the pluricanonical maps of varieties of intermediate Kodaira dimension ⋮ On the \(p\)-Bergman theory ⋮ A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume ⋮ Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic ⋮ The isomorphism problem of projective schemes and related algorithmic problems ⋮ K-stability and Fujita approximation ⋮ Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic ⋮ On explicit birational geometry for minimal n$n$‐folds of canonical dimension n−1$n-1$ ⋮ Geometry of polarised varieties ⋮ Asymptotic purity for very general hypersurfaces of \(\mathbb P^{n } \times \mathbb P^{n }\) of bidegree \((k, k)\) ⋮ The canonical volume of minimal 3-folds of general type ⋮ Kähler structures on spin 6-manifolds ⋮ Pluricanonical systems of projective varieties of general type. II ⋮ Bergman kernels and the pseudoeffectivity of relative canonical bundles ⋮ Some lower bounds for the canonical volume of 3-folds of general type ⋮ On projective threefolds of general type with small positive geometric genus ⋮ On minimal 4-folds of general type with \(p_g \geq 2\) ⋮ Restricted Bergman kernel asymptotics

Cites Work

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• On the extension of \(L^ 2\) holomorphic functions
• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• On Fujita's freeness conjecture for 3-folds and 4-folds
• Analytic Zariski decomposition
• Effective freeness and point separation for adjoint bundles
• Mappings into compact complex manifolds with negative first Chern class
• Canonical models of surfaces of general type
• On the extension of L² holomorphic functions V-Effects of generalization
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Subadjunction of log canonical divisors, II
• Deformation invariance of plurigenera
• Global generation of adjoint bundles

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