ON PROJECTIVE MANIFOLDS WITH PSEUDO-EFFECTIVE TANGENT BUNDLE

DOI10.1017/S1474748020000754zbMath1502.14087arXiv1908.06421MaRDI QIDQ5102220

Masataka Iwai, Shin-ichi Matsumura, Genki Hosono

Publication date: 6 September 2022

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06421

zbMATH Keywords

abelian varietiessingular Hermitian metricsrationally connected varietiestangent bundlesclassification of surfacessplitting of vector bundlesMRC fibrationsnumerically flat vector bundlespseudo-effective vector bundles

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Moduli, classification: analytic theory; relations with modular forms (14J15) Vector distributions (subbundles of the tangent bundles) (58A30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (11)

On projective manifolds with semi-positive holomorphic sectional curvature ⋮ Almost nef regular foliations and Fujita's decomposition of reflexive sheaves ⋮ Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata ⋮ On asymptotic base loci of relative anti-canonical divisors of algebraic fiber spaces ⋮ Examples of Fano manifolds with non‐pseudoeffective tangent bundle ⋮ Fano manifolds with big tangent bundle: a characterisation of \(V_5\) ⋮ Miscellanea on PSH functions and \(L^2\) methods on pseudoconvex domains ⋮ Open problems on structure of positively curved projective varieties ⋮ Pseudo-effective vector bundles with vanishing first Chern class on Astheno-Kähler manifolds ⋮ Positivity of extensions of vector bundles ⋮ Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity

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