References
Cartier, P.: Groupes algébriques et groupes formels. Coll. CBRM, Brussels 1962, 87–111.
Demazure, M., et A. Grothendieck: Schémas en groupes. Sém. géom. algébrique, IHES, 1963–1964. Referred to as SGAD.
Grothendieck, A., et J. Dieudonné: Éléments de géométrie algébrique. Publ. Math., IHES. Referred to as EGA.
Grothendieck, A.: Séminaire de géométrie algébrique. IHES, 1960. Referred to as SGA.
Lazard, M.: Lois de groupes et analyseurs. Ann. Sc. Éc. norm. sup.72, 299–400 (1955).
—: La non-existence des groupes de Lie formels non abéliens à un paramètre. C. R. Acad. Sci.239, 942–945 (1954).
Lazard, M.: Sur les groupes de Lie formels à un paramètre. Bull. Soc. Math. France83, 251–274 (1955).
Lubin, J., and J. Tate: Formal moduli for one-parameter Lie groups. Bull. Soc. Math. France94, 49–60 (1966).
Mumford, D.: Lectures on curves on an algebraic surface (lecture notes Harvard University, 1964). Princeton Math. Notes 59.
Oort, F.: Commutative group schemes. Lecture Notes in Math. 15. Berlin-Heidelberg-New York: Springer 1966. Referred to as CGS.
—: Algebraic group schemes in characteristic zero are reduced. Inv. Math.2, 79–80 (1966).
Oort, F.: Embedding of finite group schemes into abelian schemes. Mimeographed notes from the advanced science seminar in algebraic geometry, Bowdoin college, summer 1967.
Tate, J., and F. Oort: Finite group schemes of prime rank (to appear).
Author information
Authors and Affiliations
Additional information
This work was partially supported by NSF grant GP 3512.
Rights and permissions
About this article
Cite this article
Oort, F., Mumford, D. Deformations and liftings of finite, commutative group schemes. Invent Math 5, 317–334 (1968). https://doi.org/10.1007/BF01389779
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01389779