Bounds on the Castelnuovo-Mumford regularity of tensor products

Author:
Giulio Caviglia

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1949-1957

MSC (2000):
Primary 13D45, 13D02

DOI:
https://doi.org/10.1090/S0002-9939-07-08222-6

Published electronically:
February 16, 2007

MathSciNet review:
2299466

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Abstract: In this paper we show how, given a complex of graded modules and knowing some partial Castelnuovo-Mumford regularities for all the modules in the complex and for all the positive homologies, it is possible to get a bound on the regularity of the zero homology. We use this to prove that if , then , generalizing results of Chandler, Conca and Herzog, and Sidman. Finally we give a description of the regularity of a module in terms of the postulation numbers of filter regular hyperplane restrictions.

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Additional Information

**Giulio Caviglia**

Affiliation:
Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, California 94720-3840

Email:
caviglia@math.berkeley.edu

DOI:
https://doi.org/10.1090/S0002-9939-07-08222-6

Keywords:
Castelnuovo-Mumford regularity,
postulation number,
filter-regular sequence

Received by editor(s):
March 3, 2003

Received by editor(s) in revised form:
February 1, 2005

Published electronically:
February 16, 2007

Additional Notes:
The author was partially supported by the “Istituto Nazionale di Alta Matematica Francesco Severi”, Rome

Communicated by:
Bernd Ulrich

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.