3 papers
math.AG2026
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…
math.AG2025
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…
math.AG2025
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…