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April 2020 Toric Fano varieties associated to building sets
Yusuke Suyama
Kyoto J. Math. 60(1): 45-59 (April 2020). DOI: 10.1215/21562261-2019-0034

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.

Citation

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Yusuke Suyama. "Toric Fano varieties associated to building sets." Kyoto J. Math. 60 (1) 45 - 59, April 2020. https://doi.org/10.1215/21562261-2019-0034

Information

Received: 11 November 2016; Revised: 4 August 2017; Accepted: 8 August 2017; Published: April 2020
First available in Project Euclid: 10 September 2019

zbMATH: 07194827
MathSciNet: MR4065180
Digital Object Identifier: 10.1215/21562261-2019-0034

Subjects:
Primary: 14M25
Secondary: 05C20‎, 14J45

Rights: Copyright © 2020 Kyoto University

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Vol.60 • No. 1 • April 2020
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