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945
A Canonical Bundle Formula
, 1992
"... . A higher dimensional analogue of Kodaira's canonical bundle formula is obtained. As applications, we prove that the logcanonical ring of a klt pair with 3 is finitely generated, and that there exists an effectively computable natural number M such that jMKX j induces the Iitaka fibering fo ..."
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Cited by 58 (13 self)
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. A higher dimensional analogue of Kodaira's canonical bundle formula is obtained. As applications, we prove that the logcanonical ring of a klt pair with 3 is finitely generated, and that there exists an effectively computable natural number M such that jMKX j induces the Iitaka fibering
AN APPLICATION OF THE CANONICAL BUNDLE FORMULA
, 2002
"... Abstract. We prove a part of Shokurov’s conjecture on characterization of toric varieties modulo the minimal model program and adjunction conjecture. 1. ..."
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Cited by 1 (1 self)
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Abstract. We prove a part of Shokurov’s conjecture on characterization of toric varieties modulo the minimal model program and adjunction conjecture. 1.
FOLIATIONS WITH EFFECTIVE ANTICANONICAL BUNDLE
 FRG MINIWORKSHOP – FALL 2014
, 2014
"... The goal of this workshop is to discuss some recent results on the classification/structure of foliations on projective varieties having effective anticanonical bundle. Two main classes of foliations are going to be discussed. 1.1. Fano foliations. These are the foliations with ample anticanonical ..."
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The goal of this workshop is to discuss some recent results on the classification/structure of foliations on projective varieties having effective anticanonical bundle. Two main classes of foliations are going to be discussed. 1.1. Fano foliations. These are the foliations with ample anticanonical
Positivity of relative canonical bundles and applications
, 1201
"... Abstract. Given a family f: X → S of canonically polarized manifolds, the unique KählerEinstein metrics on the fibers induce a hermitian metric on the relative canonical bundle KX/S. We use a global elliptic equation to show that this metric is strictly positive on X, unless the family is infinite ..."
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Cited by 9 (0 self)
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Abstract. Given a family f: X → S of canonically polarized manifolds, the unique KählerEinstein metrics on the fibers induce a hermitian metric on the relative canonical bundle KX/S. We use a global elliptic equation to show that this metric is strictly positive on X, unless the family
Canonical singular hermitian metrics on relative canonical bundles
, 2007
"... We introduce a new class of canonical AZD’s (called the supercanonical AZD’s) on the canonical bundles of smooth projective varieties with pseudoeffective canonical classes. We study the variation of the supercanonical AZD ˆ hcan under projective deformations and give a new proof of the invariance o ..."
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Cited by 12 (5 self)
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We introduce a new class of canonical AZD’s (called the supercanonical AZD’s) on the canonical bundles of smooth projective varieties with pseudoeffective canonical classes. We study the variation of the supercanonical AZD ˆ hcan under projective deformations and give a new proof of the invariance
A MEMO ON \A CANONICAL BUNDLE
"... Section 3 in [FM] follows from the observations below. I think that this argument is slightly better than the original one. 1. Throughout this note, we consider the ber space f: X! C such that C is a curve, X is smooth, pg(F) = 1 and (F) = 0, where F is the generic ber of f with m = dim F. 2. For ..."
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divides N. We note that LssX=C = L ss X0=C0 for any nite morphism , where X 0 is a resolution of X C C 0 (cf. [FM, Corollary 2.5 (ii)]). By the theory of the canonical extensions of Hodge bundles, we will prove that LssX0=C0 = xLX0=C0y by the unipotency of the monodromy in 6 below. In particular, LssX0=C0
A CANONICAL BUNDLE FORMULA FOR PROJECTIVE LAGRANGIAN FIBRATIONS
, 710
"... Abstract. We classify singular fibres of a projective Lagrangian fibration over codimension one points. As an application, we obtain a canonical bundle formula for a projective Lagrangian fibration over a smooth manifold. 1. ..."
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Cited by 4 (0 self)
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Abstract. We classify singular fibres of a projective Lagrangian fibration over codimension one points. As an application, we obtain a canonical bundle formula for a projective Lagrangian fibration over a smooth manifold. 1.
Canonical bundles for Hamiltonian loop group manifolds
, 2001
"... We construct canonical bundles for Hamiltonian loop group actions with proper moment maps. As an application, we show that for certain moduli spaces of flat connections on Riemann surfaces with boundary, the first Chern class is a multiple of the cohomology class of the symplectic form. 1. Introduct ..."
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Cited by 9 (5 self)
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We construct canonical bundles for Hamiltonian loop group actions with proper moment maps. As an application, we show that for certain moduli spaces of flat connections on Riemann surfaces with boundary, the first Chern class is a multiple of the cohomology class of the symplectic form. 1
Results 1  10
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945