Projective manifolds of sectional genus three as zero loci of sections of ample vector bundles

• Autores: Antonio Lanteri, Hidetoshi Maeda
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 1, 2008, págs. 109-118
• Idioma: inglés
• DOI: 10.1017/s0305004107000813
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• Resumen

  • Let be an ample vector bundle of rank r = 2 on a smooth complex projective variety X of dimension n such that there exists a global section of whose zero locus Z is a smooth subvariety of dimension n-r = 2 of X. Let H be an ample line bundle on X such that the restriction HZ of H to Z is very ample. Triplets (X, , H) with g(Z, HZ) = 3 are classified, where g(Z, HZ) is the sectional genus of (Z, HZ).