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arXiv · 2606.13963

Adelic line bundles over a N\'eron model

Zhelun Chen
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Abstract

Motivated by variation problems for the N\'eron--Tate height pairing, we construct an adelic Poincar\'e bundle on the N\'eron model of an abelian scheme over a curve. This extends the adelic Poincar\'e bundle of Yuan--Zhang, which encodes the fiberwise N\'eron--Tate height pairing.

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Zhelun Chen. 2026-06-11. Adelic line bundles over a N\'eron model. https://arxiv.org/abs/2606.13963

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