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# Toric Varieties

### About this Title

**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, Urbana, IL*

Publication: Graduate Studies in Mathematics

Publication Year
2011: Volume 124

ISBNs: 978-0-8218-4819-7 (print); 978-1-4704-1185-5 (online)

DOI: http://dx.doi.org/10.1090/gsm/124

MathSciNet review: MR2810322

MSC: Primary 14M25; Secondary 05A15, 05E45, 52B12

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### Table of Contents

**Part I. Basic theory of toric varieties **

- Chapter 1. Affine toric varieties
- Chapter 2. Projective toric varieties
- Chapter 3. Normal toric varieties
- Chapter 4. Divisors on toric varieties
- Chapter 5. Homogeneous coordinates on toric varieties
- Chapter 6. Line bundles on toric varieties
- Chapter 7. Projective toric morphisms
- Chapter 8. The canonical divisor of a toric variety
- Chapter 9. Sheaf cohomology of toric varieties

**Topics in toric geometry **

- Chapter 10. Toric surfaces
- Chapter 11. Toric resolutions and toric singularities
- Chapter 12. The topology of toric varieties
- Chapter 13. Toric Hirzebruch-Riemann-Roch
- Chapter 14. Toric GIT and the secondary fan
- Chapter 15. Geometry of the secondary fan
- Appendix A. The history of toric varieties
- Appendix B. Computational methods
- Appendix C. Spectral sequences