Seminar
Duality of cones for Mori dream spaces
Seminar - Department of Mathematics
10 April 2024
Start time
3:00 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Aula Seminari Fisica Povo0
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Organizer:
Dipartimento di Matematica
Target audience:
University community
UniTrento students
Attendance:
Free
Contact person:
Roberto Pignatelli, Elisa Postinghel, Luis E. Solá Conde
Contact details:
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 0461/281508-1625-1701-3898-1980
Speaker:
Maria Chiara Brambilla (Università Politecnica delle Marche)
Abstract
In this talk I will introduce the cones of divisors which are ample in codimension k, proving that in a Mori Dream Space they are rational polyhedral. Then I will explain the duality between such cones and the cones of k-moving curves. In general, for Mori Dream Spaces, a Weak Duality property holds, already proved by Payne and Choi. I will show that a Strong Duality property is satisfied by the family of Mori Dream Spaces which are blow-ups of projective spaces at general points. This is a joint work with Olivia Dumitrescu, Elisa Postinghel and Luis Santana-Sánchez.
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