Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/16925
 Title: K3 surfaces: moduli spaces and Hilbert schemes Author: Costa Farràs, Laura Keywords: Esquemes de HilbertTeoria de mòdulsSuperfícies algebraiquesHilbert schemesModuli theoryAlgebraic surfaces Issue Date: 1998 Publisher: Universitat de Barcelona Abstract: Let $X$ be an algebraic $K3$ surface. Fix an ample divisor $H$ on $X,L\in Pic(X)$ and $c_2\in\mathbb{Z}$. Let $M_H(r; L, c_2)$ be the moduli space of rank $r,H$-stable vector bundles $E$ over $X$ with det($E) = L$ and $c_2(E) = c_2$. The goal of this paper is to determine invariants ($r; c_1, c_2$) for which $M_H(r; L, c_2)$ is birational to some Hilbert scheme $Hilb^l(X)$. Note: Reproducció del document publicat a: https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56457 It is part of: Collectanea Mathematica, 1998, vol. 49, núm. 2-3, p. 273-282 URI: http://hdl.handle.net/2445/16925 ISSN: 0010-0757 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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