تقرير
Coherent systems on curves of compact type
| العنوان: | Coherent systems on curves of compact type |
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| المؤلفون: | Brivio, Sonia, Favale, Filippo F. |
| المصدر: | Journal of Geometry and Physics, Volume 158, December 2020 |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14H60, 14D20 |
| الوصف: | Let $C$ be a polarized nodal curve of compact type. In this paper we study coherent systems $(E,V)$ on $C$ given by a depth one sheaf $E$ having rank $r$ on each irreducible component of $C$ and a subspace $V \subset H^0(E)$ of dimension $k$. Moduli spaces of stable coherent systems have been introduced by King and Newstead and depend on a real parameter $\alpha$. We show that when $k \geq r$, these moduli spaces coincide for $\alpha$ big enough. Then we deal with the case $k=r+1$: when the degrees of the restrictions of $E$ are big enough we are able to describe an irreducible component of this moduli space by using the dual span construction. Comment: 26 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.geomphys.2020.103850 |
| URL الوصول: | http://arxiv.org/abs/2004.02529 |
| رقم الأكسشن: | edsarx.2004.02529 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.geomphys.2020.103850 |
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