Adelic line bundles over a Néron model

Published 11 Jun 2026 in math.AG and math.NT | (2606.13963v1)

Abstract: Motivated by variation problems for the Néron--Tate height pairing, we construct an adelic Poincaré bundle on the Néron model of an abelian scheme over a curve. This extends the adelic Poincaré bundle of Yuan--Zhang, which encodes the fiberwise Néron--Tate height pairing.

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Zhelun Chen

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