Please use this identifier to cite or link to this item:
https://hdl.handle.net/2445/16925
Title: | K3 surfaces: moduli spaces and Hilbert schemes |
Author: | Costa Farràs, Laura |
Keywords: | Esquemes de Hilbert Teoria de mòduls Superfícies algebraiques Hilbert schemes Moduli theory Algebraic 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: | https://hdl.handle.net/2445/16925 |
ISSN: | 0010-0757 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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152310.pdf | 100.48 kB | Adobe PDF | View/Open |
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