Coherent systems and BGN extensions on nodal reducible curves
| Autor: | Sonia Brivio, Filippo F. Favale |
|---|---|
| Přispěvatelé: | Brivio, S, Favale, F |
| Rok vydání: | 2021 |
| Předmět: |
polarization
Computer Science::Information Retrieval General Mathematics extension Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) stability Mathematics - Algebraic Geometry nodal curve Mathematics::Algebraic Geometry FOS: Mathematics Computer Science::General Literature moduli space Coherent system Algebraic Geometry (math.AG) MAT/03 - GEOMETRIA |
| DOI: | 10.48550/arxiv.2104.06883 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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