Condition
LIKE NEW: This small book is in excellent, like-new condition.
Product Details
This is volume 131 in Princeton University Press's
Annals of Mathematics Studies .
From the Preface: "Algebraic geometry has developed a great deal of machinery for studying higher dimensional nonsingular and singular varieties; for example, all sorts of cohomology theories, resolution of singularities, Hodge theory, intersection theory, Reimann-Roch theorems, and vanishing theorems. There has been real progress recently toward at least a rough classification of higher dimensional varieties, particularly by Mori and his school. For all this—and for anyone learning algebraic geometry—it is important to have a good source of examples."
The author wrote about the study of toric varieties, "...we believe it provides a good companion for an introduction to algebraic geometry (but certainly not a substitute for the study of curves, surfaces, and projective geometry. ...
"The goal of this mini-course is to develop the foundational material, with many examples, and then to concentrate on the topology, intersection theory, and Riemann-Roch problem on toric varieties."
Chapters
- Definitions and examples
- Singularities and compactness
- Orbits, topology, and line bundles
- Moment maps and the tangent bundle
- Intersection theory
The book concludes with Notes, References, Index of Notation, and Index.
