A Lefschetz decomposition over $\mathbb{Z}$, and applications

Analisa Faulkner Valiente, Mike Miller Eismeier

We discuss a 'Lefschetz filtration' of $\hat{I}{›}^{\ast }({\mathbb{Z}}^{2g})$ and prove its subquotients are isomorphic as $\text{Sp}(2g)$-modules to primitive subspaces $P^k({\mathbb{Z}}^{2g})$. Thi…