Singularities Appearing on Generic Fibers of Morphisms between Smooth Schemes

Abstract

I give various criteria for singularities to appear on geometric generic fibers of morphism between smooth schemes in positive characteristics. This involves local fundamental groups, jacobian ideals, projective dimension, tangent and cotangent sheaves, and the effect of Frobenius. As an application, I determine which rational double points do appear on geometric generic fibers.

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Cite this paper

@inproceedings{Schrer2006SingularitiesAO, title={Singularities Appearing on Generic Fibers of Morphisms between Smooth Schemes}, author={Stefan Schr{\"{o}er and Stefan Schroer}, year={2006} }