Algebraic Viewpoint

  • Michèle Audin
  • Ana Cannas da Silva
  • Eugene Lerman
Part of the Advanced Courses in Mathematics CRM Barcelona book series (ACMBIRK)


The goal of this lecture is to explain toric manifolds as a special class of projective varieties. The first five sections contain a crash course on notions and basic facts about algebraic varieties, mostly in order to fix notation. The combinatorial flavor of toric varieties is postponed until Lecture 5


Projective Variety Toric Variety Regular Function Zariski Topology Affine Variety 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Basel AG 2003

Authors and Affiliations

  • Michèle Audin
    • 1
  • Ana Cannas da Silva
    • 2
  • Eugene Lerman
    • 3
  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis Pasteur et CNRSStrasbourg CedexFrance
  2. 2.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal
  3. 3.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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