Daniel Litt

activity

20072017

collaborators

4 papers

math.AG2017

Vanishing for Frobenius Twists of Ample Vector Bundles

Daniel Litt

We prove several asymptotic vanishing theorems for Frobenius twists of ample vector bundles in positive characteristic. As an application, we prove a generalization of the Bott-Dan…

math.AG2016

Dynamical Mordell-Lang and Automorphisms of Blow-ups

John Lesieutre, Daniel Litt

We show that if $ϕ : X \to X$ is an automorphism of a smooth projective variety and $D \subset X$ is an irreducible divisor for which the set of $d$ in $D$ with $ϕ^{n} (d)$ in $D$ for…

math.AG2012

Symmetric Powers Do Not Stabilize

Daniel Litt

We discuss the stabilization of symmetric products Sym^n(X) of a smooth projective variety X in the Grothendieck ring of varieties. For smooth projective surfaces X with non-zero h…

math.CT2007

A Categorical Construction of Ultrafilters

Daniel Litt, Zachary Abel, Scott D. Kominers

Ultrafilters are useful mathematical objects having applications in nonstandard analysis, Ramsey theory, Boolean algebra, topology, and other areas of mathematics. In this note, we…