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Toric manifolds with degenerate dual variety and defect polytopes
Sandra Di Rocco
We classify projective toric manifolds whose dual variety is not a hypersurface in the dual projective space. Under the standard dictionary between toric geometry and convex geomet…
On polarized surfaces of low degree whose adjont bundles are not spanned
Gian Mario Besana, Sandra Di Rocco
Smooth complex surfaces polarized with an ample and globally generated line bundle of degree three and four, such that the adjoint bundle is not globally generated, are considered.…
Chern Numbers of Ample Vector Bundles on Toric Surfaces
Sandra Di Rocco, Andrew J. Sommese
Let $\sE$ be an ample rank bundle on a smooth toric projective surface, , whose topological Euler characteristic is . In this article, we prove a number of surprisingl…
Line bundles for which a projectivized jet bundle is a product
S. Di Rocco, A. J. Sommese
We characterize the triples (X,L,H), consisting of holomorphic line bundles L and H on a complex projective manifold X, such that for some positive integer k, the k-th holomorphic…