3 papers
math.AG2026
Some local and global properties of secant varieties of nonsingular projective curves
Lawrence Ein, Wenbo Niu, Jinhyung Park
The main goal of this paper is to study some local and global properties of secant varieties of algebraic curves. These results complement our previous work [8] by addressing issue…
math.AG2023
On vanishing of fundamental forms of algebraic varieties
Lawrence Ein, Wenbo Niu
We study fundamental forms of algebraic varieties using the sheaves of principal parts of line bundles and establish a vanishing theorem for any order fundamental forms. We also gi…
math.AG2002
Uniform Approximation of Abhyankar Valuation Ideals in Smooth Function Fields
Lawrence Ein, Robert Lazarsfeld, Karen E. Smith
In this paper we use the theory of multiplier ideals to show that the valuation ideals of a rank one Abhyankar valuation centered at a smooth point of a complex algebraic variety a…