Cox toric variety book

Other readers will always be interested in your opinion of the books youve read. Clean introduction to toric varieties for an undergraduate audience. Toric varieties form a beautiful and accessible part of modern algebraic geometry. The construction of a toric variety from a fan goes back to the introduction of toric varieties in the. Toric varieties, graduate studies in mathematics book 124, american mathematical society, 2011. This book covers the standard topics in toric geometry. David cox has some nice expositions on toric varieties on his web page here. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Our book is an introduction to this rich subject that assumes only a modest knowledge of algebraic geometry. Computer algebra packages for toric varieties appendix b of the book deals with computational methods in toric geometry. Introduction to toric varieties and cox rings impa. The study of toric varieties is a wonderful part of algebraic geometry that has deep connections with polyhedral geometry.

American mathematical society, the tricolored ams logo. Toric varieties form an important and rich class of examples in algebraic geometry, which often provide a testing ground for theorems. A toric variety may be defined abstractly to be a normal variety that admits a torus action with a dense orbit. This title covers the standard topics in toric geometry. Toric varieties and gale duality chapter 2 cox rings. These notes introduce the idea of a toric variety and discuss cones, fans, polytopes, and homogeneous coordinates. Then we present cox s construction of the characteristic space of a toric variety in terms of a defining fan and discuss the basic geometry around this. We will also describe affine toric varieties in terms of cones and their duals. The book the study of toric varieties is a wonderful part of algebraic geometry that has deep connections with polyhedral geometry. Exercise in david cox toric varieties stack exchange. Cox rings for a particular class of toric schemes algant. Click here for the web page for my book toric varieties, written with john little and hal schenck. Toric varieties ams bookstore american mathematical society. In algebraic geometry, a toric variety or torus embedding is an algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends to the whole variety.

Toric varieties david cox, john little, hal schenck. One way to construct such a variety is to take a git quotient of af. Geometric invariant theory and projective toric varieties. The two main generalpurpose toric packages mentioned in the text are. Cox is also one of the authors of the book toric varieties, which. Toric varieties david cox john little hal schenck semantic scholar. The modern book by cox, little, schenck requires by far less background on.