Proceedings of the Japan Academy, Series A, Mathematical Sciences

On the Galois and flat cohomology of unipotent algebraic groups over non-perfect fields

Nguyêñ Quôć Thǎńg and Nguyêñ Duy Tân

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Abstract

We prove some new results on the triviality and the finiteness of the Galois and flat cohomology of unipotent algebraic group schemes over non-perfect (and in particular, also local and global function) fields. Some applications are also given to certain local - global principles.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 81, Number 6 (2005), 121-123.

Dates
First available in Project Euclid: 2 August 2005

Permanent link to this document
https://projecteuclid.org/euclid.pja/1122990089

Digital Object Identifier
doi:10.3792/pjaa.81.121

Mathematical Reviews number (MathSciNet)
MR2159240

Zentralblatt MATH identifier
1122.11021

Subjects
Primary: 11E72: Galois cohomology of linear algebraic groups [See also 20G10]
Secondary: 18G50: Nonabelian homological algebra 20G10: Cohomology theory

Keywords
Galois cohomology flat cohomology unipotent groups

Citation

Thǎńg, Nguyêñ Quôć; Tân, Nguyêñ Duy. On the Galois and flat cohomology of unipotent algebraic groups over non-perfect fields. Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 6, 121--123. doi:10.3792/pjaa.81.121. https://projecteuclid.org/euclid.pja/1122990089


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