Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Rational surfaces with too many vector fields

Author: Gerald Neuman
Journal: Proc. Amer. Math. Soc. 76 (1979), 189-195
MSC: Primary 14L30
MathSciNet review: 537071
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A method is given for constructing smooth rational surfaces with nonreduced automorphism groups, by a sequence of blow-ups of the projective plane. The technique works in all positive characteristics.

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

  • [1] David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, No. 5, Published for the Tata Institute of Fundamental Research, Bombay; Oxford University Press, London, 1970. MR 0282985
  • [2] A. N. Rudakov and I. R. Šafarevič, Inseparable morphisms of algebraic surfaces, Izv. Akad. Nauk SSSR Ser. Mat. 40 (1976), no. 6, 1269–1307, 1439 (Russian). MR 0460344
  • [3] G. Neuman, Extra vector fields on algebraic surfaces, Thesis, Massachusetts Institute of Technology, Cambridge, Mass., 1977.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14L30

Retrieve articles in all journals with MSC: 14L30

Additional Information

Keywords: Rational surface, automorphism group scheme, regular vector field
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society