Combinatorial Commutative Algebra
โ Scribed by Ezra Miller; Bernd Sturmfels
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Leaves
- 423
- Series
- Graduate Texts in Mathematics
- Edition
- 2
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book provides an introduction to combinatorial commutative algebra with particular emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determined rings. The eighteen chapters cover topics ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Contains over 100 figures and 250 exercises.
๐ SIMILAR VOLUMES
<p><P>Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup a