10 citations · 11 across the 3 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
math.AG1999
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…
math.AG1999
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,…
math.AG1999
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…