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arXiv · alg-geom/9704023

Mirror symmetry on K3 surfaces via Fourier-Mukai transform

Claudio Bartocci·Ugo Bruzzo·Daniel Hernandez Ruiperez·Jose' M. Mu~noz Porras
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Abstract

We use a relative Fourier-Mukai transform on elliptic K3 surfaces $X$ to describe mirror symmetry. The action of this Fourier-Mukai transform on the cohomology ring of $X$ reproduces relative T-duality and provides an infinitesimal isometry of the moduli space of algebraic structures on $X$ which, in view of the triviality of the quantum cohomology of K3 surfaces, can be interpreted as mirror symmetry.

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Claudio Bartocci, Ugo Bruzzo, Daniel Hernandez Ruiperez, Jose' M. Mu~noz Porras. 1997-12-17. Mirror symmetry on K3 surfaces via Fourier-Mukai transform. https://doi.org/10.1007/s002200050380

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