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Sbornik: Mathematics, 2003, Volume 194, Issue 3, Pages 361–368
DOI: https://doi.org/10.1070/SM2003v194n03ABEH000720 (Mi sm720) 		 
The variety of complete pairs of zero-dimensional subschemes of length 2 of a smooth three-dimensional variety is singular

N. V. Timofeeva

Yaroslavl State Pedagogical University named after K. D. Ushinsky
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DOI: https://doi.org/10.1070/SM2003v194n03ABEH000720
Abstract: Equations are obtained that are satisfied by the vectors of the tangent space to the variety $X_{22}$ of complete pairs of zero-dimensional subschemes of length 2 of a smooth three-dimensional projective algebraic variety at the most special point of the variety $X_{22}$. It is proved that the system of equations obtained is complete and the variety $X_{22}$ is singular.
Received: 25.01.2002 and 17.07.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 3, Pages 53–60
DOI: https://doi.org/10.4213/sm720
Bibliographic databases:
UDC: 517.2
MSC: Primary 14C05; Secondary 14B05, 14B10
Language: English
Original paper language: Russian
Citation: N. V. Timofeeva, “The variety of complete pairs of zero-dimensional subschemes of length 2 of a smooth three-dimensional variety is singular”, Mat. Sb., 194:3 (2003), 53–60; Sb. Math., 194:3 (2003), 361–368
Citation in format AMSBIB
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    English version PDF:14
    References:39
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