| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8966104 | Journal of Pure and Applied Algebra | 2019 | 18 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kentaro Mitsui,