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Arithmetic and Geometry pp 167–173Cite as

Birkhäuser

Examples of Surfaces of General Type with Vector Fields

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Part of the book series: Progress in Mathematics ((PM,volume 36))

Abstract

The purpose of this paper is to introduce some new surfaces of general type, called generalized Raynaud surfaces, and to prove that in many cases these surfaces possess global vector fields, contradicting a guess of Rudakov-Shafarevich [3].

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References

  1. Lang, W. E., Quasi-elliptic surfaces in characteristic three. Ann. Sci. École Norm. Sup. (4) 12, 473–500 (1979).

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  2. Raynaud, M., Contre-example de “vanishing de Kodaira” sur une surface lisse en car. p 0. In: C. P. Ramanujan: A Tribute. Berlin, Heidelberg, New York: Springer, 273–278 (1978).

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  3. Rudakov, A., Shafarevich, I., Inseparable morphisrns of algebraic surfaces. Math. USSR-Izv. 10, 1205–1237 (1976).

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  4. Russell P., Forms of the affine line and its additive group, Pacific J. Math. 32, 527–539 (1970).

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  5. Tango, H., On the behavior of extensions of vector bundles under the Frobenius map. Nagoya Math. J. 48, 73–89 (1972).

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Minnesota, Minneapolis, Minnesota, 55455, USA

    Professor William E. Lang

Authors
  1. Professor William E. Lang
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Editor information

Editors and Affiliations

  1. Mathematics Department, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    Michael Artin

  2. Mathematics Department, Harvard University, 02138, Cambridge, MA, USA

    John Tate

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© 1983 Springer Science+Business Media New York

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Lang, W.E. (1983). Examples of Surfaces of General Type with Vector Fields. In: Artin, M., Tate, J. (eds) Arithmetic and Geometry. Progress in Mathematics, vol 36. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-9286-7_9

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  • DOI: https://doi.org/10.1007/978-1-4757-9286-7_9

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3133-8

  • Online ISBN: 978-1-4757-9286-7

  • eBook Packages: Springer Book Archive

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