Adelic line bundles over a Néron model
arXiv:2606.13963
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.
29 pages; comments are welcome!