On Kodaira energy and adjoint reduction of polarized manifolds

DOI10.1007/BF02567747zbMath0766.14027OpenAlexW2019119474MaRDI QIDQ1201422

Takao Fujita

Publication date: 17 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155740

zbMATH Keywords

adjunction theoryelementary contractionclassification of polarized complex \(n\)-foldsKodaira energy

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Families, moduli, classification: algebraic theory (14J10) Moduli, classification: analytic theory; relations with modular forms (14J15) Complex spaces (32C15)

Related Items

On the Sectional Geometric Genus of Quasi-Polarized Varieties. I ⋮ Contractions of Gorenstein polarized varieties with high nef value ⋮ Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds ⋮ On Fujita's log spectrum conjecture ⋮ Extremal rays of non-integral \(L\)-length ⋮ On Fujita's spectrum conjecture ⋮ On Kodaira energy and adjoint reduction of polarized threefolds ⋮ Finiteness of the polyhedral ℚ-codegree spectrum ⋮ A numerical characterization of polarized manifolds \((X,\mathcal{L})\) with \(K_{X}=-(n-i)\mathcal{L}\) by the \(i\)th sectional geometric genus and the \(i\)th \(\Delta\)-genus ⋮ On complexn-folds polarized by an ample line bundle L with . ⋮ On classification of polarized varieties with non-integral nef values ⋮ Fujita's conjecture on iterated accumulation points of pseudo-effective thresholds ⋮ Contractions on a manifold polarized by an ample vector bundle ⋮ Cylinders in Fano varieties ⋮ A lower bound for \((K_X+tL)L^{n-1}\) of quasi-polarized manifolds \((X,L)\) with \(\kappa(K_X+tL)\geq 0\). ⋮ Manifolds polarized by vector bundles ⋮ On accumulation points of pseudo-effective thresholds ⋮ On curves with high multiplicity on \(\mathbb{P}(a,b,c)\) for \(\min(a,b,c) \leq 4\) ⋮ Manin's conjecture and the Fujita invariant of finite covers ⋮ On exceptional sets in Manin's conjecture ⋮ Manin's \(b\)-constant in families ⋮ A note on nonvanishing and applications

Cites Work

• Unnamed Item
• On Del Pezzo fibrations over curves
• On the adjunction theoretic classification of projective varieties
• Characterization and algebraic deformations of projective space
• Characterizations of complex projective spaces and hyperquadrics
• Remarks on quasi-polarized varieties
• Generalized adjunction and applications
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• On ample divisors
• On the adjunction theoretic classification of polarized varieties.
• Threefolds whose canonical bundles are not numerically effective

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