Abstract
S. Payne asked whether for a variety X of dimension d, the closed cone spanned by the divisors ample in dimension k (1 ≤ k ≤ d) and the closed cone spanned by the classes of curves on some ℚ-factorial small modifications of X movable in codimension d - k are dual to each other. We prove that this is true for Fano type varieties and Mori dream spaces.
Original language | English |
---|---|
Pages (from-to) | 403-416 |
Number of pages | 14 |
Journal | Mathematical Research Letters |
Volume | 19 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2012 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)