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Sean Keel, Jenia Tevelev
We show that the log canonical bundle, , of is very ample, show the homogeneous coordinate ring is Koszul, and give a nice set of rank 4 quadratic generators for…
Chow Quotients of Grassmannians II
Sean Keel, Jenia Tevelev
We consider Kapranov's Chow quotient compactification of the moduli space of ordered n-tuples of hyperplanes in P^{r-1} in linear general position. For r=2 this is canonically iden…
Polarized Pushouts for Finite Fields
Sean Keel
Let p: Y--> X be a surjection between schemes projective over the algebraic closure of a finite field. Let L be a line bundle on X such that p^*(L) is globally generated. I give a…
Oort's conjecture for A_g
Sean Keel, Lorenzo Sadun
We prove the conjecture of Oort that a compact subvariety of the moduli space of principally polarized Abelian varieties of genus g has codimension strictly greater than g, for g >…
Towards the ample cone of $\mgn$
Angela Gibney, Sean Keel, Ian Morrison
In this paper we study the ample cone of the moduli space $\mgn$ of stable -pointed curves of genus . Our motivating conjecture is that a divisor on $\mgn$ is ample iff it ha…
Mori Dream Spaces and GIT
Yi Hu, Sean Keel
The main goal of this paper is to study varieties with the best possible Mori theoretic properties (measured by the existence of a certain decomposition of the cone of effective di…