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

Antonio Lanteri, Hidetoshi Maeda

• 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).