Projective klt pairs with nef anti-canonical divisor

DOI10.14231/AG-2021-013zbMath1483.14016arXiv1910.06471MaRDI QIDQ4957936

Shin-ichi Matsumura, Frédéric Campana, Junyan Cao

Publication date: 6 September 2021

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06471

zbMATH Keywords

rational connectednessnumerical dimensionsingular Hermitian metricsklt pairsBeauville-Bogomolov decompositionpositivity of direct image sheavesnumerical flatnessMRC fibrationsnef anti-canonical divisorsslope rationally connected quotients

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Minimal model program (Mori theory, extremal rays) (14E30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (8)

On projective manifolds with semi-positive holomorphic sectional curvature ⋮ Structure of projective varieties with nef anticanonical divisor: the case of log terminal singularities ⋮ ON PROJECTIVE MANIFOLDS WITH PSEUDO-EFFECTIVE TANGENT BUNDLE ⋮ On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces ⋮ Open problems on structure of positively curved projective varieties ⋮ Pseudo-effective vector bundles with vanishing first Chern class on Astheno-Kähler manifolds ⋮ The nonvanishing problem for varieties with nef anticanonical bundle ⋮ Strongly pseudo-effective and numerically flat reflexive sheaves

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