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Introduction to Toric Varieties (Softcover)

Introduction to Toric Varieties (Softcover)

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LIKE NEW: This small book is in excellent, like-new condition.

Product Details

This is volume 131 in Princeton University Press'sAnnals 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

  1. Definitions and examples
  2. Singularities and compactness
  3. Orbits, topology, and line bundles
  4. Moment maps and the tangent bundle
  5. Intersection theory
The book concludes with Notes, References, Index of Notation, and Index.
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AUTHOR: Fulton;William
PUBLISHER: Princeton University Press
ISBN-13: 9780691000497
ISBN-10: 0691000492
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