Ezra Miller and Bernd Sturmfels

Combinatorial Commutative Algebra

Springer Graduate Texts in Math, Vol. 227

Publication year: 2004

Even though we can't make changes to the first printing of the published version, we still want your comments and corrections! That way, future published printings will be improved over this first printing. Please do take a look at the CURRENT LIST OF CORRECTIONS (in TeX, DVI, gzipped PostScript, or PDF) and email Bernd or me all your comments and corrections.

Springer does not allow us to make the book available online anymore, because it is now available in print. You can, however, download just the title page, preface, and contents as a PDF file or a PostScript file. Alternatively, you can download the frontmatter and backmatter section by section---see below.

The book is split into three Parts:
The text is subdivided more finely as follows:
The back-cover blurb reads:

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.
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