Higher dimensional polarized varieties with non-integral nefvalue.
Beltrametti, Mauro C., Di Termini, Susanna (2003)
Advances in Geometry
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Displaying similar documents to “On the second sectional geometric genus of quasi-polarized manifolds.”
Higher dimensional polarized varieties with non-integral nefvalue.
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Seshadri positive submanifolds of polarized manifolds
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Let Y be a submanifold of dimension y of a polarized complex manifold (X, A) of dimension k ≥ 2, with 1 ≤ y ≤ k−1. We define and study two positivity conditions on Y in (X, A), called Seshadri A-bigness and (a stronger one) Seshadri A-ampleness. In this way we get a natural generalization of the theory initiated by Paoletti in [Paoletti R., Seshadri positive curves in a smooth projective 3-fold, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 1996, 6(4),...
On the k-regularity of some proyective manifolds.
Alberto Alzati, Gian Mario Besana (1998)
Collectanea Mathematica
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The conjecture on the (degree-codimension + 1) - regularity of projective varieties is proved for smooth linearly normal polarized varieties (X,L) with L very ample, for low values of Delta(X,L) = degree-codimension-1. Results concerning the projective normality of some classes of special varieties including scrolls over curves of genus 2 and quadric fibrations over elliptic curves, are proved.