Applications of Kawamata's positivity theorem

DOI10.3792/pjaa.75.75zbMath0967.14012arXivmath/9903040OpenAlexW2013424468MaRDI QIDQ1125413

Osamu Fujino

Publication date: 17 February 2000

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903040

zbMATH Keywords

cone theoremadjunctionMori fiber spaceKawamata's positivity theorem

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Adjunction problems (14N30)

Related Items (21)

ON THE FIRST STEPS OF THE MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE POINTED CURVES ⋮ On the log discrepancies in toric Mori contractions ⋮ The rationality problem for conic bundles ⋮ Fundamental properties of basic slc-trivial fibrations. I ⋮ Codimension \(1\) foliations with numerically trivial canonical class on singular spaces ⋮ Equivariant completions of toric contraction morphisms ⋮ Simple connectedness of Fano log pairs with semi-log canonical singularities ⋮ Building blocks of polarized endomorphisms of normal projective varieties ⋮ Fano 4-folds with rational fibrations ⋮ Rigid birational involutions of \(\mathbb{P}^3\) and cubic threefolds ⋮ On canonical bundle formulas and subadjunctions ⋮ On quasi-log schemes ⋮ \(L^2\) extension of adjoint line bundle sections ⋮ On images of weak Fano manifolds ⋮ Towards the second main theorem on complements ⋮ Equivariant minimal model program ⋮ Fano varieties with \(\mathrm{Nef}(X)=\mathrm{Psef}(X)\) and \(\rho(X)=\dim X-1\) ⋮ Building blocks of amplified endomorphisms of normal projective varieties ⋮ Abundance theorem for semi log canonical threefolds ⋮ On a generalized canonical bundle formula for generically finite morphisms ⋮ Numerical characterization of some toric fiber bundles

Cites Work

• The singularity of the canonical model of compact Kähler manifolds
• Higher direct images of dualizing sheaves. I
• Higher direct images of dualizing sheaves. II
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• On the length of an extremal rational curve
• Log abundance theorem for threefolds
• Subadjunction of log canonical divisors, II
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