Nagoya Mathematical Journal
- Nagoya Math. J.
- Volume 180 (2005), 111-120.
Combinatorial descriptions of toric extremal contractions
In this paper, we give explicit combinatorial descriptions for toric extremal contractions under the relative setting, where varieties are not complete. It is well-known that the complete case is settled by using Reid's wall theory which can not be applied to the non-complete case. Therefore, we can achieve them by using the notion of extremal primitive relations. As applications, we can generalize some of Mustaţă's results related to Fujita's conjecture on toric varieties for the relative case.
Nagoya Math. J., Volume 180 (2005), 111-120.
First available in Project Euclid: 14 December 2005
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14M25: Toric varieties, Newton polyhedra [See also 52B20]
Secondary: 14E30: Minimal model program (Mori theory, extremal rays)
Sato, Hiroshi. Combinatorial descriptions of toric extremal contractions. Nagoya Math. J. 180 (2005), 111--120. https://projecteuclid.org/euclid.nmj/1134569898