Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44298
Title: Parallel Kustin-Miller unprojection with an application to Calabi-Yau geometry
Authors: Neves, Jorge 
Papadakis, Stavros Argyrios 
Issue Date: 2013
Project: info:eu-repo/grantAgreement/FCT/3599-PPCDT/99275/PT 
info:eu-repo/grantAgreement/FCT/SFRH/SFRH/BPD/22846/2005/PT 
Serial title, monograph or event: Proceedings of the London Mathematical Society
Volume: 106
Issue: 1
Abstract: Kustin--Miller unprojection constructs more complicated Gorenstein rings from simpler ones. Geometrically, it inverts certain projections, and appears in the constructions of explicit birational geometry. However, it is often desirable to perform not only one but a series of unprojections. The main aim of the present paper is to develop a theory, which we call parallel Kustin--Miller unprojection, that applies when all the unprojection ideals of a series of unprojections correspond to ideals already present in the initial ring. As an application of the theory, we explicitly construct 7 families of Calabi--Yau 3-folds of high codimensions.
URI: http://hdl.handle.net/10316/44298
DOI: 10.1112/plms/pds036
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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