Monads and cohomology modules of rank 2 vector bundles
1990; Foundation Compositio Mathematica; Linguagem: Inglês
10.1007/978-94-009-0685-3_2
ISSN2214-2584
Autores Tópico(s)Algebraic Geometry and Number Theory
ResumoMonads 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.
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