General stable bundles arising as normal bundles of projective curves

• Autores: Luciana Ramella, Edoardo Ballico
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 12, Nº 1, 1999, págs. 17-26
• Idioma: inglés
• DOI: 10.5209/rev_rema.1999.v12.n1.17181
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• Resumen

  • Let X be a smooth projective curve of genus g ³2. For all integers r, d with r>0 let M(X;r,d) be the moduli scheme of rank r stable vector bundles on X with degree d.

    Here we prove that for all integers n,d with n³3 and d ³(5n-8)g + 2n2-5n+4 there is an open dense subset W of M(X; n-1, (n+1)d +2g-2) such that for every N Î W there is a non-degenerate degree d embedding of X in Pn with N as normal bundle.

    For the proof we use reducible smoothable curves.