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A \(p\)-adic regulator map and finiteness results for arithmetic schemes

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Publication:612993
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zbMath1207.14015arXivmath/0612081MaRDI QIDQ612993

Kanetomo Sato, Shuji Saito

Publication date: 16 December 2010

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612081


zbMATH Keywords

unramified cohomologyChow groups\(p\)-adic regulator\(p\)-adic étale Tate twists


Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic cycles (14C25) (p)-adic cohomology, crystalline cohomology (14F30) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)


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Factorization of \(p\)-adic Rankin \(L\)-series ⋮ Euler systems for Rankin-Selberg convolutions of modular forms ⋮ Syntomic cohomology and Beilinson’s Tate conjecture for 𝐾₂



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