A geometric characterization of toric varieties

Morgan V. Brown; James McKernan; Roberto Svaldi; Hong R. Zong

doi:10.1215/00127094-2017-0047

Abstract

We prove a conjecture of Shokurov which characterizes toric varieties using log pairs.

Citation

Morgan V. Brown. James McKernan. Roberto Svaldi. Hong R. Zong. "A geometric characterization of toric varieties." Duke Math. J. 167 (5) 923 - 968, 1 April 2018. https://doi.org/10.1215/00127094-2017-0047

Information

Received: 27 May 2016; Revised: 30 August 2017; Published: 1 April 2018

First available in Project Euclid: 3 March 2018

zbMATH: 06870397

MathSciNet: MR3782064

Digital Object Identifier: 10.1215/00127094-2017-0047

Subjects:

Primary: 14E30

Secondary: 14M25

Keywords: Cox ring , Mori dream space , Mori theory , toric variety

Abstract

Citation

Information

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