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Fourier-Mukai Transforms in Algebraic Geometry$
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D. Huybrechts

Print publication date: 2006

Print ISBN-13: 9780199296866

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780199296866.001.0001

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Equivalence Criteria for Fourier–Mukai Transforms

Equivalence Criteria for Fourier–Mukai Transforms

(p.154) 7 Equivalence Criteria for Fourier–Mukai Transforms
Fourier-Mukai Transforms in Algebraic Geometry

D. Huybrechts

Oxford University Press

Criteria must be developed to determine whether a given Fourier-Mukai transform is in fact an equivalence. Applying the techniques from Chapter 1, this chapter explains the fully faithfulness of a Fourier-Mukai transform. It addresses the question concerning the circumstances a fully faithful Fourier-Mukai transform does define an equivalence. In a separate section, varieties with torsion canonical bundle and their canonical cover are investigated.

Keywords:   canonical covers, fully faithfulness, torsion canical bundle

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