Six Lectures on Commutative Algebra

Rezension

From reviews:

"All six articles are at a very high level; they provide a thorough survey of results and methods in their subject areas, illustrated with algebraic or geometric examples." -
Acta Scientiarum Mathematicarum

Avramov lecture
: "Although this text is not presented as a textbook, it contains all the major results in its area, it explains carefully all the different techniques that apply, it provides complete—albeit short— proofs (some new, some with a new twist) of most of the results and references for the rest, and it presents numerous relevant questions. This will be extremely helpful for the novice as well as the experienced." -
Mathematical reviews

Huneke lecture
: The topic is tight closure, a theory developed by Melvin Hochster and the author which has in a short time proved to be a useful and powerful tool. This paper is intended to be an introduction to the theory, and it is also a good source of examples and insight into the more recent developments that can be of interest to the more experienced.(…) The paper is extremely well organized, written, and motivated. -
Zentralblatt MATH

Schenzel lecture
: "… this paper is an excellent introduction to applications of local cohomology." -
Zentralblatt MATH
  

"This interesting survey would be useful for both the novice and the expert." -
Mathematical reviews

Valla lecture
: "But since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory. (…) It will serve as a useful reference source for people interested in Hilbert functions." -
Mathematical reviews

Vasconcelos lecture
: "This is a very useful survey on invariants of modules over noetherian rings, relationsbetween them, and how to compute them." -
Zentralblatt MATH