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Fibrés exceptionnels et variétés de modules de faisceaux semi- stables sur \({\mathbb{P}}_ 2({\mathbb{C}})\). (Exceptional bundles and moduli varieties of semi-stable sheaves on \({\mathbb{P}}_ 2({\mathbb{C}}))\). (French) Zbl 0613.14013
In this paper is defined the height of a moduli variety of semi-stable sheaves on \({\mathbb{P}}_ 2({\mathbb{C}})\) and a precise description of moduli varieties of height 0 is given. With this description one can prove for example that given such a variety M, there are infinitely many other non trivial moduli varieties isomorphic to M. These results are proved with the help of the generalized Beilinson spectral sequence, built with exceptional bundles. One can find, for every integer d, all the moduli varieties which are of dimension d.

MSC:
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14D20 Algebraic moduli problems, moduli of vector bundles
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