Daniel Litt

activity

20072022

collaborators

Showing math.AGShow all

5 papers · 1 filter

math.AG2020

Tamely ramified morphisms of curves and Belyi's theorem in positive characteristic

Kiran S. Kedlaya, Daniel Litt, Jakub Witaszek

We show that every smooth projective curve over a finite field k admits a finite tame morphism to the projective line over k. Furthermore, we construct a curve with no such map whe…

math.AG2018

Arithmetic representations of fundamental groups II: finiteness

Daniel Litt

Let $X$ be a smooth curve over a finitely generated field $k$ , and let $ℓ$ be a prime different from the characteristic of $k$ . We analyze the dynamics of the Galois action on t…

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…