Topologically trivial holomorphic vector bundles on infinite-dimensional projective varieties

DOI10.1007/BF03322910zbMath1043.32010OpenAlexW1994250854MaRDI QIDQ1428268

Edoardo Ballico

Publication date: 25 March 2004

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322910

zbMATH Keywords

holomorphic vector bundleholomorphically trivialinfinite-dimensional locally convex Hausdorff topological complex vector spacequasi-algebraic subscheme

Mathematics Subject Classification ID

Banach analytic manifolds and spaces (32K05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Questions of holomorphy and infinite-dimensional manifolds (58B12) Generalizations of analytic spaces (32K99)

Cites Work

• Bounding cohomology groups of vector bundles on \(\mathbb{P}_n\)
• Vector bundles on complex projective spaces
• On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmann varieties
• Lines in algebraic subsets of infinite-dimensional projective spaces and connectedness
• VECTOR BUNDLES OF FINITE RANK OVER INFINITE VARIETIES
• The Dolbeault complex in infinite dimensions I
• The Dolbeault complex in infinite dimensions. III: Sheaf cohomology in Banach spaces
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