Mathematics – Commutative Algebra
Scientific paper
2009-12-23
Mathematics
Commutative Algebra
20 pages
Scientific paper
Given a one-dimensional Cohen-Macaulay local ring we compare several sets of invariants (micro-invariants, Apery invariants and invariants of the tangent cone) and give explicit formulas relating them. We show that, in fact, they coincide if and only if the tangent cone of the ring is Cohen-Macaulay. Some explicit computations are also given, particularly in the case of semigroup rings.
Cortadellas Teresa
Zarzuela Santiago
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