Kyoto Journal of Mathematics

Toric Fano varieties associated to building sets

Yusuke Suyama

Advance publication

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Abstract

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.

Article information

Source
Kyoto J. Math., Advance publication (2019), 15 pages.

Dates
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
https://projecteuclid.org/euclid.kjm/1568102426

Digital Object Identifier
doi:10.1215/21562261-2019-0034

Subjects
Primary: 14M25: Toric varieties, Newton polyhedra [See also 52B20]
Secondary: 14J45: Fano varieties 05C20: Directed graphs (digraphs), tournaments

Keywords
toric Fano varieties building sets nested sets directed graphs

Citation

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


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References

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