158 citations · 537 across the 42 of their papers we have counts for
40 papers · 1 filter
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
A theorem of Kollár, Miyaoka, and Mori states that on a rationally connected variety, any finite collection of points lies on a rational curve. Motivated by this, it is natural to…
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),…
Measures of association between algebraic varieties, II: self-correspondences
Robert Lazarsfeld, Olivier Martin
Following a suggestion of Jordan Ellenberg, we study measures of complexity for self-correspondences of some classes of varieties. We also answer a question of Rhyd concerning curv…
Torelli theorems for some Steiner bundles
Robert Lazarsfeld, John Sheridan
A Steiner bundle is a vector bundle on projective space arising as the cokernel of the map defined by a matrix of linear forms. These come up in various geometric settings, and by…
Ramification and Discriminants of Vector Bundles and a Quick Proof of Bogomolov's Theorem
Hirotachi Abo, Robert Lazarsfeld, Gregory G. Smith
By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instab…
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…