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Abstract We study the Frobenius base change of a torsor under a smooth algebraic group over a field of positive characteristic by relating it to the pushforward of the torsor… Click to show full abstract
Abstract We study the Frobenius base change of a torsor under a smooth algebraic group over a field of positive characteristic by relating it to the pushforward of the torsor under the Frobenius homomorphism. As an application, we determine the change of the multiplicity of a closed fiber of an elliptic surface by purely inseparable base changes with respect to the base curve in the case where the generic fiber is supersingular.
Keywords:
base change;
change;
change torsors;
frobenius base;
base
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!