Berger's conjecture on torsion in Kähler differentials

Let AA be a one-dimensional local domain essentially of finite type over a field KK of characteristic zero, and let ΩA/K\Omega_{A/K} denote its module of Kähler differentials. Berger's conjecture. The ring AA is regular if and only if the module

ΩA/K\Omega_{A/K}

is torsion-free.

This is a differential-forms analogue of Geller's conjecture for one-dimensional local domains. The supplied text introduces it as a similar conjecture, but gives no general resolution or further status information.

Sources & referencesView supporting material

Primary source

Amalendu Krishna, “On K_2 of 1-dimensional local rings”, arXiv:math/0402190 (2004).

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