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Contractibility of the diagonal of the product of a hyperelliptic curve with itself

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Abstract

In this paper the following theorem is proved: The diagonal of the product of a smooth hyperelliptic curve with itself is contractible in the category of projective schemes.

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Literature cited

  1. I. R. Shafarevich, et al., “Algebraic surfaces,” Tr. Matem. In-ta Akad. Nauk SSSR,75 (1965).

  2. I. R. Shafarevich, Fundamentals of Algebraic Geometry [in Russian], Nauka, Moscow (1972).

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Authors
  1. B. V. Martynov
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Additional information

Translated from Matematicheskie Zametki, Vol. 20, No. 5, pp. 771–774, November, 1976.

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Martynov, B.V. Contractibility of the diagonal of the product of a hyperelliptic curve with itself. Mathematical Notes of the Academy of Sciences of the USSR 20, 989–991 (1976). https://doi.org/10.1007/BF01146926

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  • DOI: https://doi.org/10.1007/BF01146926

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