Mathematics > Algebraic Geometry
[Submitted on 2 Dec 2018]
Title:Pseudo-Néron Model and Restriction of Sections with an appendix by Jason Michael Starr
View PDFAbstract:We introduce the notion of pseudo-Néron model and give new examples of varieties admitting pseudo-Néron models other than Abelian varieties. As an application of pseudo-Néron models, given a scheme admitting a finite morphism to an Abelian scheme over a positive-dimensional base, we prove that for a very general genus-0, degree-d curve in the base with d sufficiently large, every section of the scheme over the curve is contained in a unique section over the entire base.
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