تقرير
Construction of a Basis of K\'{a}hler differentials for generic plane branches
| العنوان: | Construction of a Basis of K\'{a}hler differentials for generic plane branches |
|---|---|
| المؤلفون: | Ayuso, Pedro Fortuny, Ribón, Javier |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Mathematics - Dynamical Systems, 32S05, 32S65, 14H20, 32G13 |
| الوصف: | Let ${\mathcal C}$ be a fixed equisingularity class of irreducible germs of complex analytic plane curves. We compute a basis of the ${\mathbb C}[[x]]$-module of K\"ahler differentials for generic $\Gamma \in {\mathcal C}$, algorithmically, and study its behaviour under blow-up. As an application, we give an alternative proof for a formula of Genzmer, that provides the dimension of the generic component of the moduli of analytic classes in the equisingularity class of $\Gamma$. Comment: 52 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.09684 |
| رقم الأكسشن: | edsarx.2405.09684 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |