20 citations · 48 across the 15 of their papers we have counts for
16 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),…
Connecting Interpolation and Multiplicity Estimates in Commutative Algebraic Groups
Stéphane Fischler, Michael Nakamaye
Let be a commutative algebraic group embedded in projective space and a finitely generated subgroup of . From these data we construct a chain of algebraic subgroups of $…
Seshadri Constants and Interpolation on Commutative Algebraic Groups
Stéphane Fischler, Michael Nakamaye
In this article we study interpolation estimates on a special class of compactifications of commutative algebraic groups constructed by Serre. We obtain a large quantitative improv…
On Sasaki-Einstein manifolds in dimension five
Charles P. Boyer, Michael Nakamaye
We prove the existence of Sasaki-Einstein metrics on certain simply connected 5-manifolds where until now existence was unknown. All of these manifolds have non-trivial torsion cla…
Restricted volumes and base loci of linear series
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vani…
Asymptotic invariants of line bundles
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
Let X be a smooth complex projective variety of dimension d. It is classical that ample line bundles on X satisfy many beautiful geometric, cohomological, and numerical properties…