Kustin-Miller unprojection with complexes

Author:
Stavros Argyrios Papadakis

Journal:
J. Algebraic Geom. **13** (2004), 249-268

DOI:
https://doi.org/10.1090/S1056-3911-03-00350-3

Published electronically:
October 15, 2003

MathSciNet review:
2047698

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Abstract | References | Additional Information

Abstract: A main ingredient for the Kustin-Miller unprojection is the module , where is a local Gorenstein ring and a codimension one ideal with 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), 185-220). The second and the third are about Tom and Jerry, two families of Gorenstein codimension four rings with resolutions.

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Additional Information

**Stavros Argyrios Papadakis**

Affiliation:
Math Institute, University of Warwick, Coventry CV4 7AL, England

Address at time of publication:
Fakultät für Mathematik und Informatik, Geb. 27, Universität des Saarlandes, D-66123 Saarbrücken, Gernamy

Email:
spapad@maths.warwick.ac.uk, papadakis@math.uni-sb.de

DOI:
https://doi.org/10.1090/S1056-3911-03-00350-3

Received by editor(s):
August 24, 2001

Published electronically:
October 15, 2003

Additional Notes:
This work is part of a Warwick Ph.D. thesis \cite{P}, financially supported by the Greek State Scholarships Foundation