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Free resolutions for multiple point spaces
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Altıntaş, Ayşe and Mond, D. (David) (2013) Free resolutions for multiple point spaces. Geometriae Dedicata, Volume 162 (Number 1). pp. 177-190. doi:10.1007/s10711-012-9722-4 ISSN 0046-5755.
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Official URL: http://dx.doi.org/10.1007/s10711-012-9722-4
Abstract
This paper relates the multiple point spaces in the source and target of a corank 1 map-germ (Cn0)(Cn+10) . Let f be such a map-germ, and, for 1 ≤ k ≤ multiplicity( f ), let D k ( f ) be its k’th multiple point scheme – the closure of the set of ordered k-tuples of pairwise distinct points sharing the same image. There are natural projections D k+1( f ) → D k ( f ), determined by forgetting one member of the (k + 1)-tuple. We prove that the matrix of a presentation of Dk+1(f) over Dk(f) appears as a certain submatrix of the matrix of a suitable presentation of Cn0 over Cn+10 . This does not happen for germs of corank > 1.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Geometriae Dedicata | ||||
Publisher: | Springer | ||||
ISSN: | 0046-5755 | ||||
Official Date: | February 2013 | ||||
Dates: |
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Volume: | Volume 162 | ||||
Number: | Number 1 | ||||
Number of Pages: | 15 | ||||
Page Range: | pp. 177-190 | ||||
DOI: | 10.1007/s10711-012-9722-4 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | University of Warwick |
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