Some results in the theory of vector bundles

DOI10.1017/S0027763000015919zbMath0271.14005MaRDI QIDQ3215351

Hiroshi Umemura

Publication date: 1973

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

Mathematics Subject Classification ID

Related Items (22)

POSITIVELY CURVED FINSLER METRICS ON VECTOR BUNDLES ⋮ Vector bundles on curves coming from variation of Hodge structures ⋮ Negatively curved metrics on Kodaira surfaces ⋮ Mathematical works of Hiroshi Umemura ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Compact subvarieties with ample normal bundles, algebraicity, and cones of cycles ⋮ The Demailly system for a direct sum of ample line bundles on Riemann surfaces ⋮ On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities ⋮ The Demailly systems with the vortex ansatz ⋮ Positively curved Finsler metrics on vector bundles. II ⋮ Representability of Chern-Weil forms ⋮ On ampleness of vector bundles ⋮ Ample vector bundles on a rational surface ⋮ Stable vector bundles with numerically trivial Chern classes over a hyperelliptic surface ⋮ Positivity and vanishing theorems for ample vector bundles ⋮ On an asymptotic characterisation of Griffiths semipositivity ⋮ Heisenberg groups and holomorphic vector bundles over a complex torus ⋮ Refinements to Mumford's theta and adelic theta groups ⋮ Equations for endomorphisms of abelian varieties ⋮ On the positivity of high-degree Schur classes of an ample vector bundle ⋮ Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles ⋮ A characterization of ample vector bundles on a curve

Cites Work

• On complex analytic vector bundles
• Stable and unitary vector bundles on a compact Riemann surface
• Über Modifikationen und exzeptionelle analytische Mengen
• Vector bundles on Abelian surfaces
• On the equations defining Abelian varieties. I-III
• Pathologies III
• Vector Bundles on an Elliptic Curve
• Stable Vector Bundles on Algebraic Surfaces

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