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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Book 2021 aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research..

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Jim Riordan (Professor of Russian Studies)f semi-effectivity, the second part is on the containment problem of symbolic powers of ideals of fat points in their ordinary powers, and the third part is on splitting types of rank 2 bundles on rational curves.

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ckground and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research..978-3-030-89696-6978-3-030-89694-2

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https://doi.org/10.1007/978-1-349-19932-7ence of such complexes is closely tied to the Hochster’s “homological conjectures”, most of which were recently settled by André. Various constructions of maximal Cohen-Macaulay complexes are described, and their existence is applied to give new proofs of some of the homological conjectures, and also of certain results in birational geometry.

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