تقرير
Real regulator maps with finite 0-locus
| العنوان: | Real regulator maps with finite 0-locus |
|---|---|
| المؤلفون: | Acuna, RJ, Akman, Devin, Kerr, Matt |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14C30, 14D07, 32G20 |
| الوصف: | A Laurent polynomial in two variables is tempered if its edge polynomials are cyclotomic. Variation of coefficients leads to a family of smooth complete genus $g$ curves carrying a canonical algebraic $K_2$-class over a $g$-dimensional base $S$, hence to an extension of admissible variations of MHS (or normal function) on $S$. We prove that the $\mathbb{R}$-split locus of this extension is finite. Consequently, the torsion locus of the normal function and the $A$-polynomial locus for the family of curves are also finite. Comment: 20 pages, comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.10392 |
| رقم الأكسشن: | edsarx.2407.10392 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |