Toric varieties
 Author/Creator
 Cox, David A.
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, c2011.
 Physical description
 xxiv, 841 p. : ill. ; 26 cm.
 Series
 Graduate studies in mathematics ; v. 124.
Access
Available online

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Unknown
QA564 .C6882 2011

Unknown
QA564 .C6882 2011
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Contributors
 Contributor
 Little, John B.
 Schenck, Henry K., 1963
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 817829) and index.
 Publisher's Summary
 Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry. Other topics covered include quotient constructions, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimal model program for toric varieties. The subject lends itself to rich examples reflected in the 134 illustrations included in the text. The book also explores connections with commutative algebra and polyhedral geometry, treating both polytopes and their unbounded cousins, polyhedra. There are appendices on the history of toric varieties and the computational tools available to investigate nontrivial examples in toric geometry. Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat lesser degree, complex analysis. In addition, the authors assume that the reader has had some previous experience with algebraic geometry at an advanced undergraduate level. The book will be a useful reference for graduate students and researchers who are interested in algebraic geometry, polyhedral geometry, and toric varieties.
(source: Nielsen Book Data)
Subjects
 Subject
 Toric varieties.
Bibliographic information
 Publication date
 2011
 Responsibility
 David A. Cox, John B. Little, Henry K. Schenck.
 Series
 Graduate studies in mathematics ; v. 124
 ISBN
 9780821848197
 0821848194