Specialization of the $p$-adic Polylogarithm to $p$-th Power Roots of Unity

The purpose of this paper is to calculate the restriction of the $p$-adic polylogarithm sheaf to $p$-th power torsion points.

2000 Mathematics Subject Classification: 14F30,14G20

Keywords and Phrases: $p$-adic polylogarithm, syntomic cohomology, rigid cohomology

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