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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Rational surfaces with too many vector fields
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by Gerald Neuman PDF
Proc. Amer. Math. Soc. 76 (1979), 189-195 Request permission

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
  • David Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, vol. 5, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1970. MR 0282985
  • 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
    • G. Neuman, Extra vector fields on algebraic surfaces, Thesis, Massachusetts Institute of Technology, Cambridge, Mass., 1977.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 76 (1979), 189-195
  • MSC: Primary 14L30
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0537071-7
  • MathSciNet review: 537071