Report
The Bruce-Roberts Tjurina number of holomorphic 1-forms along complex analytic varieties
| العنوان: | The Bruce-Roberts Tjurina number of holomorphic 1-forms along complex analytic varieties |
|---|---|
| المؤلفون: | Barbosa, Pedro, Fernández-Pérez, Arturo, León, Víctor |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Algebraic Geometry |
| الوصف: | We introduce the notion of the Bruce-Roberts Tjurina number for holomorphic 1-forms relative to a pair $(X,V)$ of complex analytic subvarieties. When the pair $(X,V)$ consists of isolated complex analytic hypersurfaces, we prove that the Bruce-Roberts Tjurina number is related to the Bruce-Roberts number, the Tjurina number of the 1-form with respect to $V$ and the Tjurina number of $X$, among other invariants. As an application, we present a quasihomogeneity result for germs of holomorphic foliations in complex dimension two. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2409.19814 |
| رقم الانضمام: | edsarx.2409.19814 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |