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Smoothness and Euler characteristic of the variety of complete pairsX 23 of zero-dimensional subschemes of length 2 and 3 of algebraic surfaces

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Abstract

A. S. Tikhomirov’s conjecture about the smoothness of the variety of complete pairsX 23 of zero-dimensional subschemes of an irreducible projective algebraic surface is verified. In the caseS=P2, the topological Euler characteristic of this variety is computed.

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References

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Authors and Affiliations

  1. K. D. Ushinskii Yaroslavl State Pedagogical University, USSR

    N. V. Timofeeva

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  1. N. V. Timofeeva
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Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 276–287, February, 2000.

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Timofeeva, N.V. Smoothness and Euler characteristic of the variety of complete pairsX 23 of zero-dimensional subschemes of length 2 and 3 of algebraic surfaces. Math Notes 67, 223–232 (2000). https://doi.org/10.1007/BF02686250

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  • DOI: https://doi.org/10.1007/BF02686250

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