3 papers
math.AG2020
Toroidal b-divisors and Monge-Ampère measures
Ana María Botero, José Ignacio Burgos Gil
We generalize the intersection theory of nef toric (Weil) b-divisors on smooth and complete toric varieties to the case of smooth and complete toroidal embeddings. As a key ingredi…
math.AG2019
The convex-set algebra and the toric b-Chow group
Ana Maria Botero
In \cite{botero}, a top intersection product of toric b-divisors on a smooth complete toric variety is defined. It is shown that a nef toric b-divisor corresponds to a convex set a…
math.AG2017
Canonical decomposition of a difference of convex sets
Ana María Botero
Let be a lattice of rank and let be its dual lattice. In this note we show that given two compact, bounded, full-dimensional convex sets $K_1 \subseteq K_2 \…