158 citations · 706 across the 43 of their papers we have counts for
47 papers
Erratum to the paper: Asymptotic Invariants of Base Loci
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006),…
Saturation bounds for smooth varieties
Lawrence Ein, Huy Tai Ha, Robert Lazarsfeld
We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due…
Singularities and syzygies of secant varieties of nonsingular projective curves
Lawrence Ein, Wenbo Niu, Jinhyung Park
In recent years, the equations defining secant varieties and their syzygies have attracted considerable attention. The purpose of the present paper is to conduct a thorough study o…
Cayley-Bacharach theorems with excess vanishing
Lawrence Ein, Robert Lazarsfeld
Griffiths and Harris showed in 1978 that if E is a rank n vector bundle on a smooth projective variety of dimension n, and if s is a section of E vanishing simply on a finite set Z…
Tangent developable surfaces and the equations defining algebraic curves
Lawrence Ein, Robert Lazarsfeld
This is an introduction, aimed at a general mathematical audience, to recent work of Aprodu, Farkas, Papadima, Raicu and Weyman. These authors established a long-standing folk conj…
The Konno invariant of some algebraic varieties
Lawrence Ein, Robert Lazarsfeld
The Konno invariant of a projective variety X is the minimum geometric genus of the fiber of a rational pencil on X. It was computed by Konno for surfaces in P^3, and in general ca…