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2020 | OriginalPaper | Buchkapitel

4. Regularity of Powers of Ideals and the Combinatorial Framework

verfasst von : Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl

Erschienen in: Ideals of Powers and Powers of Ideals

Verlag: Springer International Publishing

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Abstract

Castelnuovo-Mumford regularity (or simply regularity) is an important invariant in commutative algebra and algebraic geometry. Computing or finding bounds for the regularity is a difficult problem. In the next three chapters, we shall address the regularity of ordinary and symbolic powers of squarefree monomial ideals.

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Metadaten
Titel
Regularity of Powers of Ideals and the Combinatorial Framework
verfasst von
Enrico Carlini
Huy Tài Hà
Brian Harbourne
Adam Van Tuyl
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-45247-6_4