Our goal is twofold. On one hand, we show that the cones of divisors ample in codimension k on a Mori dream space are rational polyhedral. On the other hand, we study the duality between such cones and the cones of k-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.
Duality and polyhedrality of cones for Mori dream spaces / Brambilla, Maria Chiara; Dumitrescu, Olivia; Postinghel, Elisa; José Santana Sánchez, Luis. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 309:4(2025). [10.1007/s00209-025-03699-6]
Duality and polyhedrality of cones for Mori dream spaces
Maria Chiara Brambilla;Olivia Dumitrescu;Elisa Postinghel
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2025-01-01
Abstract
Our goal is twofold. On one hand, we show that the cones of divisors ample in codimension k on a Mori dream space are rational polyhedral. On the other hand, we study the duality between such cones and the cones of k-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.| File | Dimensione | Formato | |
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