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alg-geom1997★ 15 cited
Mirror symmetry on K3 surfaces via Fourier-Mukai transform
Claudio Bartocci, Ugo Bruzzo, Daniel Hernandez Ruiperez +1
We use a relative Fourier-Mukai transform on elliptic K3 surfaces to describe mirror symmetry. The action of this Fourier-Mukai transform on the cohomology ring of reproduc…
alg-geom1994
Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles
Ugo Bruzzo, Antony Maciocia
By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces the punctual Hilbert schemes $\Hilb^n(X)$ can be identified, for all…
alg-geom1994★ 19 cited
A Fourier-Mukai Transform for Stable Bundles on K3 Surfaces
C. Bartocci, U. Bruzzo, D. Hernandez Ruiperez
We define a Fourier-Mukai transform for sheaves on K3 surfaces over $\C$, and show that it maps polystable bundles to polystable ones. The role of ``dual'' variety to the given K3…