K3 surfaces: moduli spaces and Hilbert schemes

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Costa Farràs, Laura
dc.date	2011-03-08T09:49:17Z
dc.date	2011-03-08T09:49:17Z
dc.date	1998
dc.identifier.citation	0010-0757
dc.identifier.citation	152310
dc.identifier.uri	http://hdl.handle.net/2445/16925
dc.format	10 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Universitat de Barcelona
dc.relation	Reproducció del document publicat a: https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56457
dc.relation	Collectanea Mathematica, 1998, vol. 49, núm. 2-3, p. 273-282
dc.rights	(c) Universitat de Barcelona, 1998
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Esquemes de Hilbert
dc.subject	Teoria de mòduls
dc.subject	Superfícies algebraiques
dc.subject	Hilbert schemes
dc.subject	Moduli theory
dc.subject	Algebraic surfaces
dc.title	K3 surfaces: moduli spaces and Hilbert schemes
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.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 $Hilb^l(X)$.

Aprodu, Marian; Costa Farràs, Laura; Miró-Roig, Rosa M. (Rosa Maria)

Costa Farràs, Laura; Miró-Roig, Rosa M. (Rosa Maria)

Acín dal Maschio, Antonio; Andrianov, Alexander A.; Costa Farràs, Laura; Jané, E.; Latorre, José Ignacio; Tarrach, R., 1948-

Aprodu, Marian; Costa Farràs, Laura; Miró-Roig, Rosa M. (Rosa Maria)

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