Duality and polyhedrality of cones for Mori dream spaces
Algebraic Geometry
2025-08-05 v2
Abstract
Our goal is twofold. On one hand we show that the cones of divisors ample in codimension on a Mori dream space are rational polyhedral. On the other hand we study the duality between such cones and the cones of -moving curves by means of the Mori chamber decomposition of the former. We give a new proof of the weak duality property (already proved by Payne and Choi) and we exhibit an interesting family of examples for which strong duality holds.
Keywords
Cite
@article{arxiv.2305.18536,
title = {Duality and polyhedrality of cones for Mori dream spaces},
author = {Maria Chiara Brambilla and Olivia Dumitrescu and Elisa Postinghel and Luis José Santana Sánchez},
journal= {arXiv preprint arXiv:2305.18536},
year = {2025}
}
Comments
20 pages, 1 figure. To appear in Mathematische Zeitschrift