Our goal is twofold. On one hand, we show that the cones of divisors ample in codimensionkon a Mori dream space are rational polyhedral. On the other hand, we study the dualitybetween such cones and the cones ofk-moving curves by means of the Mori chamber decom-position of the former. We give a new proof of the weak duality property (already proved byPayne and Choi) and we exhibit an interesting family of examples for which strong dualityholds.
Duality and polyhedrality of cones for Mori dream spaces / Brambilla, M.C., Dumitrescu, O., Postinghel, E., 4, ., Santana Sánchez, L.J.. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - Volume 309 (2025):(2025), pp. 1-17. [10.1007/s00209-025-03699-6]
Duality and polyhedrality of cones for Mori dream spaces
Postinghel, Elisa
;
2025-01-01
Abstract
Our goal is twofold. On one hand, we show that the cones of divisors ample in codimensionkon a Mori dream space are rational polyhedral. On the other hand, we study the dualitybetween such cones and the cones ofk-moving curves by means of the Mori chamber decom-position of the former. We give a new proof of the weak duality property (already proved byPayne and Choi) and we exhibit an interesting family of examples for which strong dualityholds.| File | Dimensione | Formato | |
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Duality-MathZ-BDPSS.pdf
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s00209-025-03699-6 (1).pdf
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