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Title: | Apery and micro-invariants of a one-dimensional Cohen-Macaulay local ring and invariants of its tangent cone |
Author: | Cortadellas Benítez, Teresa Zarzuela, Santiago |
Keywords: | Àlgebra commutativa Anells locals Commutative algebra Local rings |
Issue Date: | 15-Feb-2011 |
Publisher: | Elsevier |
Abstract: | Given a one-dimensional equicharacteristic Cohen-Macaulay local ring $A$, Juan Elias introduced in 2001 the set of micro-invariants of $A$ in terms of the first neighborhood ring. On the other hand, if $A$ is a one-dimensional complete equicharacteristic and residually rational domain, Valentina Barucci and Ralf Fröberg defined in 2006 a new set of invariants in terms of the Apery set of the value semigroup of $A$. We give a new interpretation for these sets of invariants that allow to extend their definition to any onedimensional Cohen-Macaulay ring. We compare these two sets of invariants with the one introduced by the authors for the tangent cone of a one-dimensional CohenMacaulay local ring and give explicit formulas relating them. We show that, in fact, they coincide if and only if the tangent cone $G(A)$ is Cohen-Macaulay. Some explicit computations will also be given. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.jalgebra.2010.08.002 |
It is part of: | Journal of Algebra, 2011, vol. 328, num. 1, p. 94-113 |
URI: | http://hdl.handle.net/2445/200400 |
Related resource: | https://doi.org/10.1016/j.jalgebra.2010.08.002 |
ISSN: | 0021-8693 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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