Toric Varieties by David A Cox

Toric Varieties by David A Cox

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.

David A. Cox, Amherst College, MA, John B. Little, College of the Holy Cross, Worcester, MA, and Henry K. Schenck, University of Illinois at Urbana-Champaign, IL.

SKU	Unavailable
ISBN 13	9781470478209
ISBN 10	147047820X
Title	Toric Varieties
Author	David A Cox
Series	Graduate Studies In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	American Mathematical Society
Year published	2024-06-25
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.