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Matematicheskie Zametki, 2003, Volume 73, Issue 5, Pages 743–752
DOI: https://doi.org/10.4213/mzm224 (Mi mzm224) 		 
Varieties of Complete Pairs of Zero-Dimensional Subschemes of Lengths $\ge2$ and $\ge4$ in Algebraic Surfaces

N. V. Timofeeva

Yaroslavl State Pedagogical University named after K. D. Ushinsky
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DOI: https://doi.org/10.4213/mzm224
Abstract: We prove that the varieties $X_{d_1d_2}$ of complete pairs of zero-dimensional subschemes of lengths $d_1\ge2$, $d_2\ge4$ on a smooth irreducible projective algebraic surface are singular.
Received: 27.03.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 5, Pages 697–705
DOI: https://doi.org/10.1023/A:1024068923065
Bibliographic databases:
UDC: 517.2
Language: Russian
Citation: N. V. Timofeeva, “Varieties of Complete Pairs of Zero-Dimensional Subschemes of Lengths $\ge2$ and $\ge4$ in Algebraic Surfaces”, Mat. Zametki, 73:5 (2003), 743–752; Math. Notes, 73:5 (2003), 697–705
Citation in format AMSBIB
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