Selected topics on toric varieties

Mateusz Michalek*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

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.

Original languageEnglish
Title of host publication50TH ANNIVERSARY OF GROEBNER BASES
EditorsT Hibi
Pages207-252
Number of pages46
Publication statusPublished - 2018
MoE publication typeA4 Article in a conference publication
EventMathematical Society of Japan Seasonal Institute (MSJ-SI) Conference on Current Trends on Grobner Bases: 50th Anniversary of Grobner Bases - Osaka, Japan
Duration: 1 Jul 201510 Jul 2015
Conference number: 8

Publication series

NameAdvanced Studies in Pure Mathematics
PublisherMATH SOC JAPAN
Volume77

Conference

ConferenceMathematical Society of Japan Seasonal Institute (MSJ-SI) Conference on Current Trends on Grobner Bases: 50th Anniversary of Grobner Bases
CountryJapan
CityOsaka
Period01/07/201510/07/2015

Keywords

  • tonic variety
  • algebraic combinatorics
  • matroid
  • cut polytope
  • algebraic phylogenetics
  • GROUP-BASED MODELS
  • PHYLOGENETIC INVARIANTS
  • EXCHANGE PROPERTIES
  • NORMAL POLYTOPES
  • FIBER PRODUCTS
  • IDEALS
  • POLYMATROIDS
  • MATROIDS
  • PROPERTY
  • RINGS

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