Moduli of finite flat torsors over nodal curves

Publication date

2025-07

Authors

Mehidi, Sara
Poiret, Thibault

Editors

Advisors

Supervisors

Document Type

Article
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License

taverne

Abstract

We show that log flat torsors over a family (Formula presented.) of nodal curves under a finite flat commutative group scheme (Formula presented.) are classified by maps from the Cartier dual of (Formula presented.) to the log Jacobian of (Formula presented.). We deduce that fppf torsors on the smooth fiberss of (Formula presented.) can be extended to global log flat torsors under some regularity hypotheses.

Keywords

General Mathematics

Citation

Mehidi, S & Poiret, T 2025, 'Moduli of finite flat torsors over nodal curves', Journal of the London Mathematical Society, vol. 112, no. 1, e70220, pp. 1-33. https://doi.org/10.1112/jlms.70220