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Exponential growth of Betti numbers

✍ Scribed by Irena Peeva

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 430 KB
Volume: 126
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00152-1

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✦ Synopsis

We prove over some local commutative noetherian rings that the sequence of Betti numbers of every finitely generated module is either eventually constant or has termwise exponential growth.

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