On the Bloch--Kato conjecture for GSp(4) x GL(2)

David Loeffler, Sarah Livia Zerbes

We prove the Bloch--Kato conjecture for certain critical values of degree 8 $L$-functions associated to cusp forms on ${\mathrm{GSp}}_4\times {\mathrm{GL}}_2$. We also construct a $p$…