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Title: | Some moduli spaces for rank 2 reflexive sheaves on $ {{\mathbf{P}}^3}$ |
Author: | Miró-Roig, Rosa M. (Rosa Maria) |
Keywords: | Geometria algebraica Homologia Algebraic geometry Homology |
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 |
URI: | http://hdl.handle.net/2445/95817 |
Related resource: | http://dx.doi.org/10.1090/S0002-9947-1987-0869229-0 |
ISSN: | 0002-9947 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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008619.pdf | 1.38 MB | Adobe PDF | View/Open |
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