Fourier-Mukai transforms of curves and principal polarizations

Details Fourier-Mukai transforms of curves and principal polarizations Fourier-Mukai transforms of curves and principal polarizations

2007-02-06

arxiv.org/abs/math/0702152v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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