تقرير
Construction of a Geometric Basis of K\'{a}hler differentials for plane branches
| العنوان: | Construction of a Geometric Basis of K\'{a}hler differentials for 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: | We show that there is a basis of the set of K\"{a}hler differentials of an irreducible germ of holomorphic plane curve whose non-trivial elements correspond to dicritical foliations. Indeed, we discuss several concepts of generation for the semimodule of values of K\"{a}hler differentials of the curve and provide basis of K\"{a}hler differentials, for every of these concepts, whose geometric properties are described. Moreover, we give an algorithmic construction of the bases. Comment: 59 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.13958 |
| رقم الأكسشن: | edsarx.2405.13958 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |