arXiv subjects

Ryan Keast

Publications and source records attributed to Ryan Keast.

3 recordsLinked to original sources

arXiv2018

Normal Functions over Locally Symmetric Varieties

We classify the irreducible Hermitian real variations of Hodge structure admitting an infinitesimal normal function, and draw conclusions for cycle-class maps on families of abelian varieties with a given Mumford-Tate group.

math.AG↗

arXiv2018

Integral and Absolute Hodge Classes

Despite the failure of the integral Hodge conjecture, we show that the rational Hodge conjecture implies an integral version (modulo torsion) of the absolute Hodge conjecture.

math.AG↗

arXiv2015

A Generalization of Ribet's Nondegeneracy

We extend Ribet's Nondegeneracy theorem to all odd weight Hodge structures.

math.AG↗