تقرير
Higher-rank Brill-Noether loci on nodal reducible curves
| العنوان: | Higher-rank Brill-Noether loci on nodal reducible curves |
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| المؤلفون: | Brivio, Sonia, Favale, Filippo F. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Primary: 14H60 Secondary: 14H51, 14D20, 14F06 |
| الوصف: | In this paper we deal with Brill-Noether theory for higher-rank sheaves on a polarized nodal reducible curve $(C,\underline{w})$ following the ideas of [arXiv:alg-geom/9511003v1]. We study the Brill-Noether loci of $\underline{w}$-stable depth one sheaves on $C$ having rank $r$ on all irreducible components and having small slope. In analogy with what happens in the smooth case, we prove that these loci are closely related to BGN extensions. Moreover, we produce irreducible components of the expected dimension for these Brill-Noether loci. Comment: 21 pages. Comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2204.13147 |
| رقم الأكسشن: | edsarx.2204.13147 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |