Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/95817
 Title: Some moduli spaces for rank 2 reflexive sheaves on ${{\mathbf{P}}^3}$ Author: Miró-Roig, Rosa M. (Rosa Maria) Keywords: Geometria algebraicaHomologiaAlgebraic geometryHomology Issue Date: 1987 Publisher: American Mathematical Society (AMS) Abstract: In [Ma], Maruyama proved that the set $M({c_1},{c_2},{c_3})$ of isomorphism classes of rank $2$ stable reflexive sheaves on ${{\mathbf{P}}^3}$ with Chern classes $({c_1},{c_2},{c_3})$ has a natural structure as an algebraic scheme. Until now, there are no general results about these schemes concerning dimension, irreducibility, rationality, etc. and only in a few cases a precise description of them is known. This paper is devoted to the following cases: (i) $M( - 1,{c_2},c_2^2 - 2r{c_2} + 2r(r + 1))$ with ${c_2} \geqslant 4$, $1 \leqslant r \leqslant ( - 1 + \sqrt {4{c_2} - 7} )/2$; and (ii) $M( - 1,{c_2},c_2^2 - 2(r - 1){c_2})$ with ${c_2} \geqslant 8$, $2 \leqslant r \leqslant ( - 1 + \sqrt {4{c_2} - 7} )/2$. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-1987-0869229-0 It is part of: Transactions of the American Mathematical Society, 1987, vol. 299, num. 2, p. 699-717 Related resource: http://dx.doi.org/10.1090/S0002-9947-1987-0869229-0 URI: http://hdl.handle.net/2445/95817 ISSN: 0002-9947 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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