تقرير
Eigenperiods and the moduli of points in the line
| العنوان: | Eigenperiods and the moduli of points in the line |
|---|---|
| المؤلفون: | Deng, Haohua, Gallardo, Patricio |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14D22, 14H10, 14D05, 14D06, 14D07, G.0 |
| الوصف: | We study the period map of configurations of n points on the projective line constructed via a cyclic cover branching along these points. By considering the decomposition of its Hodge structure into eigenspaces, we establish the codimension of the locus where the eigenperiod map is still pure. Furthermore, we show that the period map extends to the divisors of a specific moduli space of weighted stable rational curves, and that this extension satisfies a local Torelli map along its fibers. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.09352 |
| رقم الأكسشن: | edsarx.2311.09352 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |