Toric Fano varieties associated to building sets

Yusuke Suyama

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.

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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

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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

Keywords: building sets , directed graphs , nested sets , Toric Fano Varieties

Abstract

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