Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On a case of extensions of group schemes

Author: B. Weisfeiler
Journal: Trans. Amer. Math. Soc. 248 (1979), 171-189
MSC: Primary 14L15; Secondary 20G10
MathSciNet review: 521699
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The extensions of a smooth connected commutative group scheme whose generic fiber is $ {G_m}$ by the additive group scheme are studied. The results are most explicit in the case when the basic scheme is the spectrum of an integral domain containing a field.

References [Enhancements On Off] (What's this?)

  • [1] Séminaire de Géométrie Algébrique 1962/1964 dirigé par M. Demazure et A. Grothendieck, Schémas en groupes. II, Lecture Notes in Math., vol. 152, Springer-Verlag, Berlin, 1970.
  • [2] M. Demazure and P. Gabriel, Groupes algébriques, North-Holland, Amsterdam, 1970. MR 0302656 (46:1800)
  • [3] M. Raynaud, Faisceaux amples sur les schémas en groupes et les espaces homogènes, Lecture Notes in Math., vol. 119, Springer-Verlag, Berlin, 1970. MR 0260758 (41:5381)
  • [4] B. Weisfeiler and I. Dolgachov, Unipotent group schemae over integral domains, Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 757-799. (Russian) MR 0376697 (51:12872)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 14L15, 20G10

Retrieve articles in all journals with MSC: 14L15, 20G10

Additional Information

Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society