A look into the Severi varieties of curves in higher codimension

• Autores: Luca Chiantini , Edoardo Ballico
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 2-3, 1998, págs. 191-202
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We show some non-emptiness results for the Severi varieties of nodal curves with fixed geometric genus in $\textbf{P}^n, n > 2$. For $n = 3$, we also fix a vector bundle $E$ of rank 2 and look at the variety $V_\delta(E)$ parameterizing sections of $E$ whose 0-locus is nodal, with fixed geometric genus. We establish some basic facts about $V_\delta(E)$ and prove some (almost sharp) non-obstructedness results for these varieties.

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