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On the Bloch--Kato conjecture for GSp(4) x GL(2) (2106.14511v2)
Published 28 Jun 2021 in math.NT
Abstract: 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 $p$-adic Eichler--Shimura isomorphism in Hida families for $\mathrm{GSp}_4$, relating $H2$ of automorphic vector bundles with $\mathbf{D}{\mathrm{cris}}$ of a subquotient of \'etale cohomology.
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