UNSPECIFIED (2004) Kustin-Miller unprojection with complexes. JOURNAL OF ALGEBRAIC GEOMETRY, 13 (2). pp. 249-268. ISSN 1056-3911

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Abstract

A main ingredient for the Kustin-Miller unprojection is the module Hom(R)(I, omega(R)), where R is a local Gorenstein ring and I a codimension one ideal with R/1 Gorenstein. We prove a method of calculating it in a relative setting using resolutions. We give three applications. In the first we generalise a result of Catanese, Franciosi, Hulek, and Reid (Embeddings of curves and surfaces, Nagoya Math. J. 154 (1999), 185220). The second and the third are about Tom and Jerry, two families of Gorenstein codimension four rings with 9 x 16 resolutions.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF ALGEBRAIC GEOMETRY
Publisher:	AMER MATHEMATICAL SOC
ISSN:	1056-3911
Date:	April 2004
Volume:	13
Number:	2
Number of Pages:	20
Page Range:	pp. 249-268
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/8688

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