Monads and cohomology modules of rank 2 vector bundles

Wolfram Decker
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Wolfram Decker: Universität Kaiserslautern, Fachbereich Mathematik

A chapter in Algebraic Geometry, 1990, pp 7-17 from Springer

Abstract: Abstract Monads are a useful tool to construct and study rank 2 vector bundles on the complex projective space ℙn, n ≥ 2 (compare [O-S-S]). Horrocks’ technique of eliminating cohomology [Ho 2] represents a given rank 2 vector bundle ℰ as the cohomology of a monad $$ \left( {M\left( \mathcal{E} \right)} \right)\mathcal{A}\xrightarrow{\varphi }\mathcal{B}\xrightarrow{\psi }\varphi $$ as follows.

Keywords: Vector Bundle; Complex Projective Space; Abelian Surface; Minimal Free Resolution; Finite Morphism (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0685-3_2

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DOI: 10.1007/978-94-009-0685-3_2

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