A primer on toric varieties
type: Item
instance of: scholarly article
title: A primer on toric varieties
author: Liana Heuberger
published in: European Journal of Mathematics
publication date: 2022-10-21T00:00:00Z
review text: Toric varieties are particular algebraic varieties which have a combinatorial flavour, as they are related to objects in discrete geometry, such as cones and polytopes. Therefore, toric varieties lie at the intersection of algebraic geometry, symplectic geometry, discrete geometry and combinatorics. The paper under review is a nicely written short survey about the theory of toric varieties. The author quickly guides the reader through the basic definitions in toric geometry and through some examples with pictures. In particular, she focuses on the three possible ways to construct toric varieties: ``from cones or fans (Sect. 2), from polytopes (Sect. 3) and as GIT quotients (Sect. 4)''.
reviewed by: Andrea Petracci
Mathematics Subject Classification ID: 14M25
Mathematics Subject Classification ID: 52B20
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 14-02
zbMATH DE Number: 7604899
zbMATH Keywords: fans
zbMATH Keywords: quotient singularities
zbMATH Keywords: polytopes
zbMATH Keywords: toric GIT
MaRDI profile type: Publication
full work available at URL: s40879-022-00561-5
OpenAlex ID: W4292177666
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DOI: 10.1007/S40879-022-00561-5
description: scientific article; zbMATH DE number 7604899