书目名称 | Combinatorial Commutative Algebra |
编辑 | Ezra Miller,Bernd Sturmfels |
视频video | |
概述 | Recent and comprehensive view point.Most exciting recent developments are covered with complete proofs and a large number of striking illustrations.Includes supplementary material: |
丛书名称 | Graduate Texts in Mathematics |
图书封面 |  |
描述 | .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 algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of 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. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.. |
出版日期 | Textbook 2005 |
关键词 | Dimension; Grad; Lattice; algebraic varieties; commutative algebra; combinatorics |
版次 | 1 |
doi | https://doi.org/10.1007/b138602 |
isbn_softcover | 978-0-387-23707-7 |
isbn_ebook | 978-0-387-27103-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
issn_series | 0072-5285 |
copyright | Springer-Verlag New York 2005 |