Proceedings of the American Mathematical Society

Author(s): Tony J. Puthenpurakal
Journal: Proc. Amer. Math. Soc. 136 (2008), 3429-3434.
MSC (2000): Primary 13H15, 13D02; Secondary 13D40, 13A30
Posted: May 15, 2008
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Abstract: Let $A = K[X_1,\ldots,X_n]$ and let

be a graded ideal in

. We show that the upper bound of the multiplicity conjecture of Herzog, Huneke and Srinivasan holds asymptotically (i.e., for

and all $k \gg 0$ ) if

belongs to any of the following large classes of ideals:

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13H15, 13D02, 13D40, 13A30

Tony J. Puthenpurakal
Affiliation: Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai, India 400 076
Email: tputhen@math.iitb.ac.in

DOI: 10.1090/S0002-9939-08-09426-4
PII: S 0002-9939(08)09426-4
Keywords: Multiplicity conjecture, regularity, reduction, analyticity
Received by editor(s): January 29, 2007,
Received by editor(s) in revised form: September 3, 2007
Posted: May 15, 2008
Additional Notes: The author thanks the Universtät Duisburg-Essen for its hospitality during November and December of 2006. The author also thanks DFG for financial support, which made this visit possible
Dedicated: Dedicated to Juergen Herzog on the occasion of his 65th birthday
Communicated by: Bernd Ulrich
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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