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Gröbner Bases and Convex Polytopes

About this Title

Bernd Sturmfels, University of California, Berkeley, Berkeley, CA

Publication: University Lecture Series
Publication Year: 1996; Volume 8
ISBNs: 978-0-8218-0487-2 (print); 978-1-4704-2157-1 (online)
DOI: https://doi.org/10.1090/ulect/008
MathSciNet review: MR1363949
MSC: Primary 13P10; Secondary 14M25, 52B20

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Gröbner basics
• Chapter 2. The state polytope
• Chapter 3. Variation of term orders
• Chapter 4. Toric ideals
• Chapter 5. Enumeration, sampling and integer programming
• Chapter 6. Primitive partition identities
• Chapter 7. Universal Gröbner bases
• Chapter 8. Regular triangulations
• Chapter 9. The second hypersimplex
• Chapter 10. $\mathcal {A}$-graded algebras
• Chapter 11. Canonical subalgebra bases
• Chapter 12. Generators, Betti numbers and localizations
• Chapter 13. Toric varieties in algebraic geometry
• Chapter 14. Some specific Gröbner bases