4 citations · 6 across the 4 of their papers we have counts for
10 papers
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…
Seshadri constants at very general points
Michael Nakamaye
This paper studies the Seshadri constant of an ample line bundle at a very general point, seeking a very slight improvement on the result of Ein, Kuchle, and Lazarsfeld. The main p…
Asymptotic invariants of base loci
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
The purpose of this paper is to define and study systematically some asymptotic invariants associated to base loci of line bundles on smooth projective varieties. We distinguish an…
Seshadri Constants and the geometry of surfaces
Michael Nakamaye
We examine how the Seshadri constant of an ample line bundle at a very general point of an algebraic surface can carry important global geometric information about the surface. In…
Base loci of linear series are numerically determined
Michael Nakamaye
Suppose D is an effective divisor on a smooth projective algebraic variety X. For each point x of X we associate a numberical invariant called the moving Seshadri constant of D at…
Sasakian Geometry, Homotopy Spheres and Positive Ricci Curvature
Charles P. Boyer, Krzysztof Galicki, Michael Nakamaye
We discuss the Sasakian geometry of odd dimensional homotopy spheres. In particular, we give a completely new proof of the existence of metrics of positive Ricci curvature on exoti…