Titlebook: Commutative Algebra; Expository Papers De Irena Peeva Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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Roger D. Markwick,Euridice Charon CardonaWe survey recent studies and results on the following problem: for which function . does there exist a homogeneous ideal . in a polynomial ring . such that (a) depthS∕Q.?=?.(.) for all .?≥?1, or (b) depthS∕Q.?=?f(t) for all .?≥?1?

Obstreperous

STENT

Bernstein-Sato Polynomials in Commutative Algebra,This is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra.

Engaging

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The Eisenbud-Green-Harris Conjecture,We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature. We include a final section with some applications, and examples.

BARB

homeostasis

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