Resultats sur la dualite etrange sur le plan projectif

Mathematics – Algebraic Geometry

Scientific paper

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Latex, 27 pages, part of PhD thesis

Scientific paper

We compute the dimensions of spaces of sections of all powers of the
Donaldson determinant bundle on the moduli space of rank 2 semi-stable sheaves
on the projective plane, with zero first Chern class, and second Chern class
equal to 3 or 4. We prove Le Potier's strange duality conjecture in some cases.

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