By David A. Cox

Toric types shape a gorgeous and available a part of sleek algebraic geometry. This e-book covers the normal subject matters in toric geometry; a unique characteristic is that every of the 1st 9 chapters comprises an introductory part at the helpful heritage fabric in algebraic geometry. different issues coated comprise quotient buildings, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimum version application for toric kinds. the topic lends itself to wealthy examples mirrored within the 134 illustrations integrated within the textual content. The publication additionally explores connections with commutative algebra and polyhedral geometry, treating either polytopes and their unbounded cousins, polyhedra. There are appendices at the heritage of toric kinds and the computational instruments to be had to enquire nontrivial examples in toric geometry. Readers of this e-book might be acquainted with the fabric coated in easy graduate classes in algebra and topology, and to a a bit lesser measure, complicated research. furthermore, the authors think that the reader has had a few earlier adventure with algebraic geometry at a sophisticated undergraduate point. The booklet should be an invaluable reference for graduate scholars and researchers who're drawn to algebraic geometry, polyhedral geometry, and toric forms.

Show description

Read Online or Download Toric Varieties (Graduate Studies in Mathematics) PDF

Best Algebraic Geometry books

An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)

An available textual content introducing algebraic geometries and algebraic teams at complicated undergraduate and early graduate point, this ebook develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first ideas. construction at the history fabric from algebraic geometry and algebraic teams, the textual content offers an advent to extra complex and specialized fabric.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The idea of elliptic curves is distinct by way of its lengthy historical past and by way of the variety of the tools which were utilized in its examine. This ebook treats the mathematics procedure in its glossy formula, by utilizing uncomplicated algebraic quantity idea and algebraic geometry. Following a quick dialogue of the mandatory algebro-geometric effects, the ebook proceeds with an exposition of the geometry and the formal team of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and worldwide fields.

Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics)

This seriously class-tested ebook is an exposition of the theoretical foundations of hyperbolic manifolds. it's a either a textbook and a reference. A easy wisdom of algebra and topology on the first 12 months graduate point of an American college is thought. the 1st half is anxious with hyperbolic geometry and discrete teams.

Additional info for Toric Varieties (Graduate Studies in Mathematics)

Show sample text content

Rated 4.39 of 5 – based on 48 votes