Ample vector bundles and branched coverings

DOI10.1080/00927870008827176zbMath0982.14025arXivmath/9907081OpenAlexW2963385932MaRDI QIDQ2707879

Thomas Peternell, Andrew John Sommese

Publication date: 20 March 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907081

zbMATH Keywords

abelian varietybranched coverFano manifoldHirzebruch surfacenef vector bundlefinite mapampleness of vector bundleDel Pezzo manifold

Mathematics Subject Classification ID

Related Items (7)

Generically nef vector bundles on ruled surfaces ⋮ Galois coverings and endomorphisms of projective varieties ⋮ Finite morphisms of projective and Kähler manifolds ⋮ Derived splinters in positive characteristic ⋮ Maps from K-trivial varieties and connectedness problems ⋮ Holomorphic maps onto varieties of non-negative Kodaira dimension ⋮ Vector bundles and finite covers

Cites Work

• Unnamed Item
• Self maps of homogeneous spaces
• On the density of ratios of Chern classes of algebraic surfaces
• Varieties with small dual varieties. II
• Ample divisors on normal Gorenstein surfaces
• A Barth-type theorem for branched coverings of projective space
• Vector bundles on complex projective spaces
• Functional-analytic methods for partial differential equations. Proceedings of a conference and a symposium held in Tokyo, Japan, July 3- 9, 1989
• Submanifolds of Abelian varieties
• On branched coverings of some homogeneous spaces
• Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic
• Vanishing theorems for ample vector bundles
• On a connectivity theorem of Mumford for homogeneous spaces
• On branched coverings of quadrics
• On the adjunction theoretic structure of projective varieties
• FANO 3-FOLDS. I
• Towards a Mori Theory on Compact Kähler Threefolds, I
• Theoremes de Connexite et Varietes Abeliennes

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