Kyoto Journal of Mathematics
- Kyoto J. Math.
- Advance publication (2019), 15 pages.
Toric Fano varieties associated to building sets
We characterize building sets whose associated nonsingular projective toric varieties are Fano. Furthermore, we show that all such toric Fano varieties are obtained from smooth Fano polytopes associated to finite directed graphs.
Kyoto J. Math., Advance publication (2019), 15 pages.
Received: 11 November 2016
Revised: 4 August 2017
Accepted: 8 August 2017
First available in Project Euclid: 10 September 2019
Permanent link to this document
Digital Object Identifier
Primary: 14M25: Toric varieties, Newton polyhedra [See also 52B20]
Secondary: 14J45: Fano varieties 05C20: Directed graphs (digraphs), tournaments
Suyama, Yusuke. Toric Fano varieties associated to building sets. Kyoto J. Math., advance publication, 10 September 2019. doi:10.1215/21562261-2019-0034. https://projecteuclid.org/euclid.kjm/1568102426