Subharmonicity of direct images and applications

DOI10.1090/CONM/810/16217MaRDI QIDQ6670009

Mihai Păun, Junyan Cao, Frédéric Campana

Publication date: 22 January 2025

Fibrations, degenerations in algebraic geometry (14D06) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Plurisubharmonic functions and generalizations (32U05) Currents (32U40) Multiplier ideals (14F18)

Cites Work

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Singular Hermitian metrics on holomorphic vector bundles
Kodaira dimension of algebraic fiber spaces over abelian varieties
Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
Bounded sets of sheaves on Kähler manifolds
Bergman kernels and the pseudoeffectivity of relative canonical bundles
The \(\overline\partial\)-equation on a positive current
Singular foliations with trivial canonical class
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Semistable sheaves in positive characteristic
Foliations with vanishing Chern classes
Strongly pseudo-effective and numerically flat reflexive sheaves
Curvature of vector bundles associated to holomorphic fibrations
Algebraic integrability of foliations with numerically trivial canonical bundle
Foliations with positive slopes and birational stability of orbifold cotangent bundles
Movable curves and semistable sheaves
Positivity of twisted relative pluricanonical bundles and their direct images
Some remarks on regular foliations with numerically trivial canonical class
Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun
Projective klt pairs with nef anti-canonical divisor
Singular Hermitian metrics and positivity of direct images of pluricanonical bundles
A decomposition theorem for projective manifolds with nef anticanonical bundle

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