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Sbornik: Mathematics, 2000, Volume 191, Issue 11, Pages 1693–1705
DOI: https://doi.org/10.1070/sm2000v191n11ABEH000523 (Mi sm523) 		 
The homology groups of the variety of complete pairs $X_{13}$ of zero-dimensional subschemes of lengths 1 and 3 of projective space

N. V. Timofeeva

Yaroslavl State Pedagogical University named after K. D. Ushinsky
English version PDF (199 kB)
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DOI: https://doi.org/10.1070/sm2000v191n11ABEH000523
Abstract: Using the action of the one-dimensional diagonal torus group, we obtain the Betti numbers (the ranks of the homology groups as free modules) of the variety of complete pairs $X_{13}$ of zero-dimensional subschemes of lengths 1 and 3 of complex projective space.
Received: 11.06.1999 and 24.01.2000
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 11, Pages 105–116
DOI: https://doi.org/10.4213/sm523
Bibliographic databases:
UDC: 517.2
MSC: Primary 14C05; Secondary 14C15
Language: English
Original paper language: Russian
Citation: N. V. Timofeeva, “The homology groups of the variety of complete pairs $X_{13}$ of zero-dimensional subschemes of lengths 1 and 3 of projective space”, Mat. Sb., 191:11 (2000), 105–116; Sb. Math., 191:11 (2000), 1693–1705
Citation in format AMSBIB
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    References:42
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