AbstractThe classical Hodge conjecture states that for a smooth projective variety any rational (p,p)-class can be represented by an algebraic cycle. The first non-trivial case for abelian varietie
AbstractThe perverse (Leray) filtration captures key topological information of algebraic maps. Recent studies of integrable systems (e.g. Hitchin system, Beauville-Mukai system) suggests two common features of the perverse filtration of abelian fibrations:1) the perverse filtration is multiplicative with respect to the cup product;2) the perversity of tautological classes is governed by the Ch...