Ample vector bundles with sections vanishing along conic fibrations over curves

• Autores: Tommaso de Fernex
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 49, Fasc. 1, 1998, págs. 67-80
• Idioma: inglés
• Enlaces
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• Resumen

  • Let $\mathcal{E}$ be an ample vector bundle of rank $r\geq 2$ on a complex projective manifold $X$ of dimension $n = r+2$ having a section whose zero locus is a smooth surface $Z$. Pairs $(X, \mathcal{E})$ as above are classified under the assumption that $(Z,L_Z)$ is a conic fibration over a smooth curve for some ample line bundle $L$ on $X$.

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