Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "K3 surfaces"
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Algebraic boundaries of Hilbert's SOS cones
(Cambridge University PressCompositio Mathematica, 20121015)We study the geometry underlying the difference between nonnegative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and quaternary quartics are shown to be ...

On the motive of some hyperKaehler varieties
(De GruyterJournal für die reine und angewandte Mathematik, 20150605)We show that the motive of the Hilbert scheme of lengthn subschemes on a K3 surface or on an abelian surface admits a decomposition similar to the decomposition of the motive of an abelian variety obtained by Shermenev, ...

The Fourier transform for certain hyperKähler fourfolds
(American Mathematical SocietyThe Fourier transform for certain hyperKähler fourfolds, 20151118)Using a codimension1 algebraic cycle obtained from the Poincar e line bundle, Beauville de ned the Fourier transform on the Chow groups of an abelian variety A and showed that the Fourier transform induces a decomposition ...