Fourier-Mukai transforms of curves and principal polarizations
classification
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keywords
curvesfourier-mukaiprincipalboundedcategoriesderivedequivalencegiven
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Given a Fourier-Mukai transform $\Phi$ 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 $\Phi$ is an equivalence.
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