A Barth-Type Theorem for Branched Coverings of Projective Space.
Excess intersection of divisors
On the Ramification of Branched Coverings of IPn.
On the projective normality of complete linear series on an algebraic curve.
Syzygies and Koszul cohomology of smooth projective varieties for arbitrary dimension.
Convex bodies associated to linear series
In his work on log-concavity of multiplicities, Okounkov showed in passing that one could associate a convex body to a linear series on a projective variety, and then use convex geometry to study such linear systems. Although Okounkov was essentially working in the classical setting of ample line bundles, it turns out that the construction goes through for an arbitrary big divisor. Moreover, this viewpoint renders transparent many basic facts about asymptotic invariants of linear series, and opens...
Asymptotic invariants of base loci
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. The functional behavior of these invariants is related to the set-theoretic behavior of base loci.
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