Monads on projective space

Details Monads on projective space Monads on projective space

1998-06-26

arxiv.org/abs/math/9806147v1

Communications in algebra, 28 (2000), no.12, p.5503-5516

Mathematics

Algebraic Geometry

Latex 2e, 9 pages

Scientific paper

10.1080/00927870008827171

This is a little investigation into the classification of complexes of direct sums of line bundles on projective spaces. We consider complexes on projective k-space Pk : O_Pk(-1)^a --> O_Pk^b --> O_Pk(1)^c, with the first map injective and the second map surjective. This is called a monad. We classify completely when such monads exist. Furthermore, whenever it exists we show that the first map may be assumed to degenerate in expected codimension, which is b-a-c+1.

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