On the Surjectivity of Localization Maps for Galois Cohomology of Unipotent Algebraic Groups Over Fields

Abstract

We show that the localisation map for Galois cohomology of smooth unipotent algebraic groups over fields is always surjective and we give some applications.

Key Words:

• Galois cohomology
• Unipotent algebraic group

AMS Mathematics Subject Classification (2000):

• Primary 11E72
• Secondary 18G50, 20G10

Acknowledgments

Thanks are due to the referee for his/her careful reading and very helpful suggestions regarding the paper which helped to remove the inacuracies of the paper and improve its readability. The first author was supported in part by Fund. Res. Prog. Vietnam and Abdus Salam I.C.T.P.

Notes

^#Communicated by R. Parimala.

^‡Regular Associate of the Abdus Salam I.C.T.P.