تقرير
Stability of normal bundles of Brill-Noether curves
| العنوان: | Stability of normal bundles of Brill-Noether curves |
|---|---|
| المؤلفون: | Coskun, Izzet, Smith, Geoffrey |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14H60 (Primary) 14B99 (Secondary) |
| الوصف: | We prove that the normal bundle of a general Brill-Noether curve of genus $g \geq 1$ and degree $d$ in $\mathbb{P}^r$ is semistable if $g=1$ or $g\geq \left \lceil \frac{5r}{2}\right\rceil r(r-1)$, or $d$ is larger than an explicit function of $g$ and $r$. We further prove that the normal bundle is in fact stable if $g\geq 2$ and either $g$ or $d$ satisfy slightly stronger bounds. In particular, for each $r$ and $g\geq 1$ (respectively, $g\geq2$), there are at most finitely many $(d,g)$ for which the normal bundle of the general Brill-Noether curve is not semistable (respectively, stable). Comment: 30 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.12653 |
| رقم الأكسشن: | edsarx.2306.12653 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |