The Artinian Berger Conjecture

Details The Artinian Berger Conjecture The Artinian Berger Conjecture

1995-03-14

arxiv.org/abs/math/9503210v1

Math. Z. 228, 569-588 (1998)

Mathematics

Commutative Algebra

Scientific paper

We propose an Artinian version of Berger's Conjecture for curves, concerning
the module of K\"ahler differentials of an algebra. Our version implies
Berger's Conjecture in characteristic 0. We establish our Artinian Berger
Conjecture in a number of cases, and prove that Berger's Conjecture holds for
curve singularities whose conductor ideal contains the cube of a maximal ideal.

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