Hyperbolic algebraic varieties and holomorphic differential equations

zbMath1264.32022MaRDI QIDQ1937760

Jean-Pierre Demailly

Publication date: 31 January 2013

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/acta/37/Toc_ACTA_4_37.htm

zbMATH Keywords

Chern connectionjet bundleLang conjectureGreen-Griffiths conjecturevariety of general typeKobayashi hyperbolic varietydirected manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) (n)-folds ((n>4)) (14J40)

Related Items (11)

Subvarieties of quotients of bounded symmetric domains ⋮ Ergodic complex structures on hyperkähler manifolds ⋮ Entire holomorphic curves into projective spaces intersecting a generic hypersurface of high degree ⋮ Morse cohomology estimates for jet differential operators ⋮ Jet differentials on toroidal compactifications of ball quotients ⋮ Rationality in Differential Algebraic Geometry ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey ⋮ Positivity of vector bundles and Hodge theory ⋮ Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants ⋮ Hyperbolicity and specialness of symmetric powers

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