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Weak normality and Lipschitz saturation for ordinary singularities

William A. Adkins (1984)

Compositio Mathematica

Weakly quasihomogeneous hypersurface singularities in positive characteristic.

Gerhard Pfister, Safwan Aouira (1991)

Mathematische Zeitschrift

Weakly-exceptional quotient singularities

Dmitrijs Sakovics (2012)

Open Mathematics

A singularity is said to be weakly-exceptional if it has a unique purely log terminal blow-up. In dimension 2, V. Shokurov proved that weakly-exceptional quotient singularities are exactly those of types D n, E 6, E 7, E 8. This paper classifies the weakly-exceptional quotient singularities in dimensions 3 and 4.

Weierstrass Weight of Gorenstein Singularities with one or two branches.

Arnaldo Garcia, R.F. Law (1993)

Manuscripta mathematica

Which weakly ramified group actions admit a universal formal deformation?

Jakub Byszewski, Gunther Cornelissen (2009)

Annales de l’institut Fourier

Consider a representation of a finite group $G$ as automorphisms of a power series ring $k [[t]]$ over a perfect field $k$ of positive characteristic. Let $D$ be the associated formal mixed-characteristic deformation functor. Assume that the action of $G$ is weakly ramified, i.e., the second ramification group is trivial. Example: for a group action on an ordinary curve, the action of a ramification group on the completed local ring of any point is weakly ramified.We prove that the only such $D$ that are not pro-representable...