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Calculating Archimedean Height Pairing via generalized cr...
[Submitted on 18 Jun 2026] · 2026-06-19 · via math updates on arXiv.org

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Abstract:During the last several years, Spencer Bloch emphasized that Archimedean hight pairings between two homologically trivial cycles of complimentary arithmetic dimensions, or the closely related classes in the biextension, should lead to interesting analogs of the classical cross ratio. In this note I calculate such a generalized cross-ratio for planes in the projective space.

Submission history

From: Alexander Goncharov [view email]
[v1] Thu, 18 Jun 2026 09:33:12 UTC (5 KB)