5 papers
Vertex operator algebra bundles on modular curves and their associated modular forms
Daniel Barake, Owen Chuchman, Cameron Franc +2
This paper describes the vector bundle on the elliptic modular curve that is associated to a vertex operator algebra (VOA) or more generally a quasi-vertex operator algebra (QV…
Dynamics of Projectivized Toric Vector Bundles
Javier González-Anaya, Brett Nasserden, Sasha Zotine
We study surjective endomorphisms of projective bundles over toric varieties, achieving three main results. First, we provide a structural theorem describing endomorphisms of proje…
Dynamics of Endomorphisms for Projective Bundles on Elliptic Curves
Brett Nasserden, Sasha Zotine
We study the dynamics of surjective endomorphisms of projective bundles on elliptic curves and relate their dynamical properties to the geometry of the bundle. As an application we…
Some applications of the minimal model program in arithmetic dynamics
Brett Nasserden
We describe a general program for studying the dynamics of surjective endomorphisms of algebraic varieties that are amenable to techniques from the minimal model program. We obtain…
On the realizability of arithmetic degrees of morphisms
Brett Nasserden
The Kawaguchi-Silverman conjecture relates two different invariants of a surjective endomorphism, the dynamical and arithmetic degrees. As the Kawaguchi-Silverman conjecture is onl…