Let (C,w̲[removed]) 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 (w̲<,α)-stable coherent systems stabilize for large α and we generalize several results known for the irreducible case when we choose a good polarization. Then, we study in detail the components of moduli spaces containing coherent systems arising from locally free sheaves.
Brivio, S., Favale, F. (2022). Coherent systems and BGN extensions on nodal reducible curves. INTERNATIONAL JOURNAL OF MATHEMATICS, 33(4) [10.1142/S0129167X22500276].
Coherent systems and BGN extensions on nodal reducible curves
Brivio, S;Favale, F
2022
Abstract
Let (C,w̲[removed]) 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 (w̲<,α)-stable coherent systems stabilize for large α and we generalize several results known for the irreducible case when we choose a good polarization. Then, we study in detail the components of moduli spaces containing coherent systems arising from locally free sheaves.
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