تقرير
Coherent systems and BGN extensions on nodal reducible curves
| العنوان: | Coherent systems and BGN extensions on nodal reducible curves |
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| المؤلفون: | Brivio, Sonia, Favale, Filippo F. |
| المصدر: | International Journal of Mathematics (2022) |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry |
| الوصف: | Let $(C,\underline{w})$ be a polarized nodal reducible curve. In this paper we consider coherent systems of type $(r,d,k)$ on $C$ with $k < r$. We prove that the moduli spaces of $(\underline{w},\alpha)$-stable coherent systems stabilize for large $\alpha$ and we generalize several results known for the irreducible case when we chose a good polarization. Then, we study in details the components of moduli spaces containing coherent systems arising from locally free sheaves. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0129167X22500276 |
| URL الوصول: | http://arxiv.org/abs/2104.06883 |
| رقم الأكسشن: | edsarx.2104.06883 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0129167X22500276 |
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