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Fourier-Mukai transforms of curves and principal polarizations

Marcello Bernardara
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Abstract

Given a Fourier-Mukai transform $Φ$ between the bounded derived categories of two smooth projective curves, we verifiy that the induced map between the Jacobian varieties preserves the principal polarization if and only if $Φ$ is an equivalence.

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Marcello Bernardara. 2007-02-06. Fourier-Mukai transforms of curves and principal polarizations. https://arxiv.org/abs/math/0702152

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