Advanced Studies in Pure Mathematics

Selected topics on toric varieties

Mateusz Michałek

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This article is based on a series of lectures on toric varieties given at RIMS, Kyoto. We start by introducing toric varieties, their basic properties and later pass to more advanced topics relating mostly to combinatorics.

Article information

The 50th Anniversary of Gröbner Bases, T. Hibi, ed. (Tokyo: Mathematical Society of Japan, 2018), 207-252

Received: 24 December 2016
First available in Project Euclid: 21 September 2018

Permanent link to this document euclid.aspm/1537499604

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14M25: Toric varieties, Newton polyhedra [See also 52B20]

toric variety algebraic combinatorics matroid cut polytope algebraic phylogenetics


Michałek, Mateusz. Selected topics on toric varieties. The 50th Anniversary of Gröbner Bases, 207--252, Mathematical Society of Japan, Tokyo, Japan, 2018. doi:10.2969/aspm/07710207.

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