Advanced Studies in Pure Mathematics

Selected topics on toric varieties

Mateusz Michałek

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Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1537499604

Digital Object Identifier
doi:10.2969/aspm/07710207

Mathematical Reviews number (MathSciNet)
MR3839712

Zentralblatt MATH identifier
07034255

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

Keywords
toric variety algebraic combinatorics matroid cut polytope algebraic phylogenetics

Citation

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. https://projecteuclid.org/euclid.aspm/1537499604


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