On Segre Forms of Positive Vector Bundles

DOI10.4153/CMB-2011-100-6zbMath1239.53092MaRDI QIDQ3119022

Dincer Guler

Publication date: 7 March 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: http://cms.math.ca/10.4153/CMB-2011-100-6

zbMATH Keywords

Chern formsFubini-Study metricpush forwardSegre formsGriffith's positive vector

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Wave equation (35L05)

Related Items (18)

Segre forms and Kobayashi-Lübke inequality ⋮ Chern forms of Hermitian metrics with analytic singularities on vector bundles ⋮ Numerically flat holomorphic bundles over non-Kähler manifolds ⋮ A note on Griffiths' conjecture about the positivity of Chern-Weil forms ⋮ Stability conditions for polarised varieties ⋮ On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities ⋮ Chern forms of singular metrics on vector bundles ⋮ Positivity of Schur forms for strongly decomposably positive vector bundles ⋮ Pseudo-effective vector bundles with vanishing first Chern class on Astheno-Kähler manifolds ⋮ Representability of Chern-Weil forms ⋮ On an asymptotic characterisation of Griffiths semipositivity ⋮ Symmetric differentials and the fundamental group ⋮ Symmetric differentials and variations of Hodge structures ⋮ Nonnegative Hermitian vector bundles and Chern numbers ⋮ A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds ⋮ On the positivity of high-degree Schur classes of an ample vector bundle ⋮ Pointwise universal Gysin formulae and applications towards Griffiths’ conjecture ⋮ Strongly pseudo-effective and numerically flat reflexive sheaves

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