Instanton sheaves on complex projective spaces

Details Instanton sheaves on complex projective spaces Instanton sheaves on complex projective spaces

2004-12-07

arxiv.org/abs/math/0412142v5

Collectanea Mathematica 57 (2006) 69-91

Mathematics

Algebraic Geometry

31 pages. V2: Completely reformulated, errors corrected. V3: misprints corrected, few remarks added. V4: more misprints correc

Scientific paper

We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of moduli spaces of instanton sheaves.

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