10 citations · 11 across the 3 of their papers we have counts for
10 papers
Invariant curves for birational surface maps
Jeffrey Diller, Daniel Jackson, Andrew Sommese
We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most…
Notes on very ample vector bundles on 3-folds
Hidetoshi Maeda, Andrew Sommese
Let $\Cal E$ be a very ample vector bundle of rank two on a smooth complex projective threefold . An inequality about the third Segre class of $\Cal E$ is provided when $K_X+\de…
Ample Vector Bundles and Branched Coverings, II
Thomas Peternell, Andrew Sommese
In continuation of our work in Comm. in Algebra, vol. 28 (2000), we study ramified coverings of projective manifolds, in particular over Fano manifolds and investigate positivity p…
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…
Ample vector bundles and branched coverings
Thomas Peternell, Andrew J. Sommese
Given a covering f: X \to Y of projective manifolds, we consider the vector bundle E on Y given as the dual of f_*(Ø_X) / Ø_Y. This vector bundles often has positivity properties,…
Numerical homotopies to compute generic points on positive dimensional algebraic sets
Andrew J. Sommese, Jan Verschelde
Many applications modeled by polynomial systems have positive dimensional solution components (e.g., the path synthesis problems for four-bar mechanisms) that are challenging to co…