Heights on curves and limits of Hodge structures

التفاصيل البيبلوغرافية
العنوان: Heights on curves and limits of Hodge structures
المؤلفون: Bloch, Spencer, de Jong, Robin, Sertöz, Emre Can
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Number Theory, 11G50, 14D06, 14D07, 14G20, 14H15
الوصف: We exhibit a precise connection between N\'eron--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.
Comment: 21 pages. Updated references and took referee comments into account. Final version
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2206.01220
رقم الأكسشن: edsarx.2206.01220
قاعدة البيانات: arXiv