Displaying similar documents to “Geometric genera for ample vector bundles with regular sections.”

On generation of jets for vector bundles.

Mauro C. Beltrametti, Sandra Di Rocco, Andrew J. Sommese (1999)

Revista Matemática Complutense

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We introduce and study the k-jet ampleness and the k-jet spannedness for a vector bundle, E, on a projective manifold. We obtain different characterizations of projective space in terms of such positivity properties for E. We compare the 1-jet ampleness with different notions of very ampleness in the literature.

On the structure of linked 3-folds.

Aldo Biancofiore, Maria Lucia Fania (2001)

Revista Matemática Complutense

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The structure of 3-folds in P which are generally linked via a complete intersection (f,f,f) to 3-folds in P of degree d ≤ 5 is determined. We also give three new examples of smooth 3-folds in P of degree 11 and genus 9. These examples are obtained via liaison. The first two are 3-folds linked via a complete intersection (2,3,3) to 3-folds in P of degree 7: (i) the hyperquadric fibration over P and (ii) the scroll over P. The third example is Pfaffian linked to a 3-dimensional quadric...

Remarks on Seshadri constants of vector bundles

Christopher Hacon (2000)

Annales de l'institut Fourier

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We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.