Castelnuovo–Mumford Regularity of Annihilators, Ext and Tor Modules

Markus Brodmann (), Cao Huy Linh () and Maria-Helena Seiler ()
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Markus Brodmann: Universität Zürich, Institut für Mathematik
Cao Huy Linh: College of Education, Hue University, Department of Mathematics
Maria-Helena Seiler: Universität Zürich, Institut für Mathematik

A chapter in Commutative Algebra, 2013, pp 207-236 from Springer

Abstract: Abstract Let R be a Noetherian homogeneous (e.g. standard graded) ring with local Artinian base ring (in degree 0), and let M and N be two finitely generated graded R-modules. We give various upper bounds for the Castelnuovo-Mumford regularity of the annihilator of M and the modules Ext(M,N) and Tor(M,N) in terms of basic invariants of R, M and N.

Keywords: Characteristic Variety; Polynomial Ring; Singular Locus; Hilbert Function; Weyl Algebra (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-5292-8_6

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DOI: 10.1007/978-1-4614-5292-8_6

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