Computations of Bott-Chern classes on \(\mathbb{P}(E)\)

DOI10.1215/S0012-7094-04-12425-XzbMath1064.14022arXivmath/0305236OpenAlexW3103608493MaRDI QIDQ1881732

Christophe Mourougane

Publication date: 15 October 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305236

zbMATH Keywords

holomorphic vector bundleEuler sequence

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Holomorphic bundles and generalizations (32L05)

Related Items (11)

Segre forms and Kobayashi-Lübke inequality ⋮ On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities ⋮ Chern forms of singular metrics on vector bundles ⋮ On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics ⋮ On Bott-Chern forms and their applications ⋮ Analytic torsion of Hirzebruch surfaces ⋮ Global representation of Segre numbers by Monge-Ampère products ⋮ Green's currents for families of Hermitian vector bundles characterizing certain vanishing loci ⋮ Geometric methods of complex analysis. Abstracts from the workshop held August 12--18, 2018 ⋮ Pointwise universal Gysin formulae and applications towards Griffiths’ conjecture ⋮ Strongly pseudo-effective and numerically flat reflexive sheaves

Cites Work

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• Arithmetic intersection theory
• Arithmetic intersection theory on flag varieties
• Bott-Chern forms and arithmetic intersections
• An arithmetic Schubert calculus
• An arithmetic Riemann-Roch theorem
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Heights of Projective Varieties and Positive Green Forms
• Positive Line Bundles on Arithmetic Varieties

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