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math.AG2009
On the Andre motive of certain irreducible symplectic varieties
Ulrich Schlickewei
We show that the Andre motive of an irreducible, symplectic variety, which is deformation equivalent to the Hilbert scheme of points on a K3 surface, is an object the category gene…
math.AG2009
Stability of tautological vector bundles on Hilbert squares of surfaces
Ulrich Schlickewei
We prove stability of rank two tautological bundles on the Hilbert square of a surface (under a mild positivity condition) and compute their Chern classes.
math.AG2009
The Hodge conjecture for self-products of certain K3 surfaces
Ulrich Schlickewei
We use a result of van Geemen to determine the endomorphism algebra of the Kuga--Satake variety of a K3 surface with real multiplication. This is applied to prove the Hodge conject…