Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
Rigid analytic spaces with overconvergent structure sheaf , Url =
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Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.
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On the Bloch-Kato conjecture for GSp(4)
Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
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$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.