Altıntaş, Ayşe and Mond, D. (David) (2012) Free resolutions for multiple point spaces. Geometriae Dedicata . ISSN 0046-5755 (In Press)

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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:	Submitted Journal Article
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Geometriae Dedicata
Publisher:	Springer
ISSN:	0046-5755
Date:	2012
Number of Pages:	15
Identification Number:	10.1007/s10711-012-9722-4
Status:	Peer Reviewed
Publication Status:	In Press
Access rights to Published version:	Open Access
Funder:	University of Warwick
URI:	http://wrap.warwick.ac.uk/id/eprint/48841

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