On Some Moduli Spaces of Bundles on K3 Surfaces

• Autores: Carlo Madonna
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 4, 2005, págs. 333-339
• Idioma: inglés
• DOI: 10.1007/s00605-005-0328-x
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• Resumen

  • We give infinitely many examples in which the moduli space of rank 2 H-stable sheaves on a K3 surface S endowed by a polarization H of degree 2g ¿ 2, with Chern classes c1 = H and c2 = g ¿ 1, is birationally equivalent to the Hilbert scheme S[g ¿ 4] of zero dimensional subschemes of S of length g ¿ 4. We get in this way a partial generalization of results from [5] and [1].