Duality of the cones of divisors and curves

Sung Rak Choi

doi:10.4310/MRL.2012.v19.n2.a12

Duality of the cones of divisors and curves

Sung Rak Choi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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	https://doi.org/10.4310/MRL.2012.v19.n2.a12
Publication status	Published - 2012

All Science Journal Classification (ASJC) codes

Mathematics(all)

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