Session A2 - Computational Algebraic Geometry
July 11, 15:30 ~ 15:55 - Room B5
Arithmetically-Free Resolutions of Toric Vector Bundles
Gregory G. Smith
Queen's University, Canada - firstname.lastname@example.org
To each torus-equivariant vector bundle over a smooth complete toric variety, we associated a representable matroid (essentially a finite collection of vectors). In this talk, we will describe how the combinatorics of this matroid encodes a resolution of the toric vector bundles by a complex whose terms are direct sums of toric line bundles. We will also outline some applications to the equations and syzygies of smooth projective toric varieties.