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Asymptotic linear bounds for the Castelnuovo-Mumford regularity

Author(s): Jürgen Herzog; Lê Tuân Hoa; Ngô Viêt Trung
Journal: Trans. Amer. Math. Soc. 354 (2002), 1793-1809.
MSC (2000): Primary 13D45
Posted: January 10, 2002
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Abstract: We prove asymptotic linear bounds for the Castelnuovo-Mumford regularity of certain filtrations of homogeneous ideals whose Rees algebras need not be Noetherian.

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Additional Information:

Jürgen Herzog
Affiliation: Fachbereich Mathematik, Universität-GHS Essen, 45117 Essen, Germany
Email: juergen.herzog@uni-essen.de

Lê Tuân Hoa
Affiliation: Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
Email: lthoa@hanimath.ac.vn

Ngô Viêt Trung
Affiliation: Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
Email: nvtrung@hn.vnn.vn

DOI: 10.1090/S0002-9947-02-02932-X
PII: S 0002-9947(02)02932-X
Keywords: Castelnuovo-Mumford regularity, reduction number, $a$-invariant, ideal
Received by editor(s): November 25, 2000
Posted: January 10, 2002
Additional Notes: The second and third authors are partially supported by the National Basic Research.
Copyright of article: Copyright 2002, American Mathematical Society

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