Syntomic regulators and values of \(p\)-adic \(L\)-functions. I. Appendix by Masato Kurihara

DOI10.1007/BF01234421zbMath0667.14006OpenAlexW2058003774MaRDI QIDQ1117280

Michel Gros

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143760

zbMATH Keywords

crystalline cohomologyp-adic regulatorhigher Chern classsyntomic sheafvalues of p-adic L-function

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

On the \(p\)-adic height of Heegner cycles, THE RIGID SYNTOMIC RING SPECTRUM, Chern classes of crystals, \(p\)-adic Eisenstein-Kronecker series and non-critical values of \(p\)-adic Hecke \(L\)-function of an imaginary quadratic field when the conductor is divisible by \(p\), Integrality theorems in the theory of topological strings, \(p\)-adic deformation of algebraic cycle classes, Syntomic regulators and \(p\)-adic integration. I: Rigid syntomic regulators, Syntomic regulators and \(p\)-adic integration. II: \(K_2\) of curves, de Rham \((\varphi,\Gamma)\)-modules and \(p\)-adic \(L\) functions, On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture, Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures, Torsion zero-cycles on the self-product of a modular elliptic curve, \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields, On Iwasawa theory of crystalline representations, Crystalline conjecture via K-theory, On the \(p\)-adic realization of elliptic polylogarithms for CM-elliptic curves, Syntomic regulators and values of \(p\)-adic \(L\)-functions. II

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