Universiteit Leiden

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Proefschrift

Néron models in high dimension: nodal curves, Jacobians and tame base change

We describe certain birational modifications of nodal relative curves over a regular base of arbitrary dimension.

Auteur
Poiret, T.
Datum
20 oktober 2020
Links
Thesis in Leiden Repository

We describe certain birational modifications of nodal relative curves over a regular base of arbitrary dimension. Using these modifications, we provide criteria for the existence of Néron models of nodal curves and their Jacobians over a regular base of arbitrary dimension, and describe the Néron models explicitly when they exist. Then, we study the descent behavior of Néron models of abelian varieties under tamely ramified and surjective maps between regular schemes.

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