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Equivalence Criteria for Fourier–Mukai Transforms

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AbstractCriteria 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.
Title: Equivalence Criteria for Fourier–Mukai Transforms
Description:
AbstractCriteria 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.

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