Moduli of space sheaves with Hilbert polynomial 4m+1
Mario Maican
TL;DR
This paper studies the moduli space of certain sheaves on space curves of degree 4 with Euler characteristic 1, proving it has three irreducible components through an elementary approach.
Contribution
It provides a new elementary proof that the moduli space has three irreducible components, clarifying its structure.
Findings
The moduli space has exactly three irreducible components.
The proof is elementary and accessible.
The components are characterized by specific geometric properties.
Abstract
We investigate the moduli space of sheaves supported on space curves of degree 4 and having Euler characteristic 1. We give an elementary proof of the fact that this moduli space consists of three irreducible components.
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