Fourier-Mukai transforms of curves and principal polarizations

Marcello Bernardara

Fourier-Mukai transforms of curves and principal polarizations

Algebraic Geometry 2007-05-23 v1

Authors: Marcello Bernardara

Abstract

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.

Keywords

fourier-mukai transform derived categories smooth projective curves jacobian varieties principal polarization

Cite

@article{arxiv.math/0702152,
  title  = {Fourier-Mukai transforms of curves and principal polarizations},
  author = {Marcello Bernardara},
  journal= {arXiv preprint arXiv:math/0702152},
  year   = {2007}
}

Comments

7 pages

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