Browsing by Author "Vial, Charles Louis"
Now showing items 1-3 of 3
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Exceptional collections, and the Néron–Severi lattice for surfaces
Vial, Charles Louis (ElsevierAdvances in Mathematics, 2017-01-10)We work out properties of smooth projective varieties X over a (not necessarily algebraically closed) field $\textit{k}$ that admit collections of objects in the bounded derived category of coherent sheaves D$^{b}$(X) that ...
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On the motive of some hyperKaehler varieties
Vial, Charles Louis (De GruyterJournal für die reine und angewandte Mathematik, 2015-06-05)We show that the motive of the Hilbert scheme of length-n 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, ...
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The Fourier transform for certain hyperKähler fourfolds
Shen, Mingmin; Vial, Charles Louis (American Mathematical SocietyThe Fourier transform for certain hyperKähler fourfolds, 2015-11-18)Using a codimension-1 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 ...