Moduli for vectorbundles on \(\mathbb{P}(\mathbb{C})\)

DOI10.1007/BF01351680zbMath0369.32009OpenAlexW2109215461MaRDI QIDQ1243829

Guenther Trautmann

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182784

zbMATH Keywords

COHOMOLOGY OF VECTOR BUNDLESHOLOMORPHIC VECTORBUNDLEMODULI FOR VECTORBUNDLESPARAMETRIZE FAMILIES OF VECTORBUNDLESVERSAL DEFORMATION

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05)

Related Items (5)

Bubble tree compactification of moduli spaces of vector bundles on surfaces ⋮ Horrocks theory and the Bernstein-Gel’fand-Gel’fand correspondence ⋮ Über den Modul-Raum für stabile 2-Vektorbuendel über \(P_ 3\) mit \(c_ 1=-1\), \(c_ 2=2\) ⋮ Das Horrocks-Mumford-Bündel und das Modul-Schema für stabile 2- Vektorbündel über \({\mathbb{P}}_ 4\) mit \(c_ 1=-1\), \(c_ 2=4\) ⋮ Stable rank 2 vector bundles with Chern-classes \(c_ 1=-1\), \(c_ 2=4\)

Cites Work

• Deformationen von isolierten Singularitäten kohärenter analytischer Garben
• Darstellung von Vektorraumbündeln über C\(^n-\{ 0 \}\)
• Deformations of coherent analytic sheaves with compact supports
• Vector Bundles on the Punctured Spectrum of a Local Ring

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