On the Moduli Space of Coherent Systems of Type $(2,c_1,c_2,2)$ on Projective Plane

O. Mata-Gutiérrez, L. Roa-Leguizamón, H. Torres-López

We study the moduli space of coherent systems in $P^2$ using the Segre invariant. We obtain necessary conditions for the existence of $\alpha$-semistable coherent systems $(E,V)$ of typ…