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Adelic line bundles over a Néron model

arXiv (Cornell University)

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.

Authors 1

  1. Zhelun Chen corresponding Aachen Mathematical Institute

    Leiden University

    Affiliation as printed

    Mathematical Institute , Leiden University , Einsteinweg 55 , 2333 CC Leiden , The Nether- lands

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