206 citations · 561 across the 28 of their papers we have counts for
33 papers
Secant sheaves on abelian n-folds with real multiplication and Weil classes on abelian 2n-folds with complex multiplication
Eyal Markman
Let K be a CM-field, i.e., a totally complex quadratic extension of a totally real field F. Let X be a g-dimensional abelian variety admitting an algebra embedding of F into the ra…
Secant sheaves and Weil classes on abelian varieties
Eyal Markman
Let K be a CM-field, i.e., a totally complex quadratic extension of a totally real field F. Let X be a g-dimensional abelian variety admitting an algebra embedding of F into the ra…
Cycles on abelian 2n-folds of Weil type from secant sheaves on abelian n-folds
Eyal Markman
A. Weil identified a 2-dimensional space of rational classes of Hodge type (n,n) in the middle cohomology of every 2n-dimensional abelian variety with a suitable complex multiplica…
Rational Hodge isometries of hyper-Kahler varieties of K3[n]-type are algebraic
Eyal Markman
Let X and Y be compact hyper-Kahler manifolds deformation equivalence to the Hilbert scheme of length n subschemes of a K3 surface. A cohomology class in their product XxY is an an…
Stable vector bundles on a hyper-Kahler manifold with a rank 1 obstruction map are modular
Eyal Markman
Let X be an irreducible 2n-dimensional holomorphic symplectic manifold. A reflexive sheaf F is very modular, if its Azumaya algebra End(F) deforms with X to every Kahler deformatio…
The monodromy of generalized Kummer varieties and algebraic cycles on their intermediate Jacobians
Eyal Markman
We compute the subgroup of the monodromy group of a generalized Kummer variety associated to equivalences of derived categories of abelian surfaces. The result was previously annou…