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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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The super GAGA principle and families of super Riemann surfaces
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by Pankaj Topiwala and Jeffrey M. Rabin PDF
Proc. Amer. Math. Soc. 113 (1991), 11-20 Request permission

Abstract:

We extend the GAGA principle, the Kodaira embedding theorem, and Chow’s lemma to supergeometry and conclude that families of super Riemann surfaces are locally algebraic.
References
    P. Deligne, Letter to Manin, Princeton, October 1987.
  • Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
  • Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157
  • Claude LeBrun, Yat Sun Poon, and R. O. Wells Jr., Projective embeddings of complex supermanifolds, Comm. Math. Phys. 126 (1990), no. 3, 433–452. MR 1032867
  • Claude LeBrun and Mitchell Rothstein, Moduli of super Riemann surfaces, Comm. Math. Phys. 117 (1988), no. 1, 159–176. MR 946998
  • Yu. I. Manin, New dimensions in geometry, Uspekhi Mat. Nauk 39 (1984), no. 6(240), 47–73 (Russian). MR 771098
  • Yuri I. Manin, Gauge field theory and complex geometry, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 289, Springer-Verlag, Berlin, 1988. Translated from the Russian by N. Koblitz and J. R. King. MR 954833
    • J. Rabin and P. Topiwala, Super Riemann surfaces are algebraic curves, Univ. California, San Diego, preprint, 1988.
  • Jean-Pierre Serre, Faisceaux algébriques cohérents, Ann. of Math. (2) 61 (1955), 197–278 (French). MR 68874, DOI 10.2307/1969915
    • —, Géometrie algébrique et géometrie analytique, Ann. Inst. Fourier (Grenoble) 6 (1956), 1-42.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 113 (1991), 11-20
  • MSC: Primary 14M30; Secondary 14H10, 32C11, 58A50
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1057963-8
  • MathSciNet review: 1057963