Mathematics > Algebraic Geometry
[Submitted on 2 Jun 2022 (v1), last revised 17 Mar 2023 (this version, v2)]
Title:Heights on curves and limits of Hodge structures
View PDFAbstract:We exhibit a precise connection between Néron--Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singular quotient curves. Our approach suggests a new way to compute Beilinson--Bloch heights in higher dimensions.
Submission history
From: Emre Can Sertöz [view email][v1] Thu, 2 Jun 2022 18:00:14 UTC (269 KB)
[v2] Fri, 17 Mar 2023 15:52:21 UTC (270 KB)
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