On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
- 1 December 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 48, 73-89
- https://doi.org/10.1017/s0027763000015099
Abstract
Let k be an algebraically closed field of characteristic p > 0, and let X be a curve defined over k. The aim of this paper is to study the behavior of the Frobenius map F*: H1(X, E) → H1(X, F*E) for a vector bundle E.Keywords
This publication has 6 references indexed in Scilit:
- P-Ample Bundles and Their Chern ClassesNagoya Mathematical Journal, 1971
- Ample Vector Bundles on CurvesNagoya Mathematical Journal, 1971
- Vector Bundles on an Elliptic CurveNagoya Mathematical Journal, 1971
- On Self-Intersection Number of a Section on a Ruled SurfaceNagoya Mathematical Journal, 1970
- Ample vector bundlesPublications mathématiques de l'IHÉS, 1966
- Vector Bundles Over an Elliptic CurveProceedings of the London Mathematical Society, 1957