On the Segre Invariant for rank two vector bundles on \mathbb{P}^2

L. Roa-Leguizamón, H. Torres López, A. G. Zamora

We extend the concept of Segre's Invariant to vector bundles on a surface $X$. For $X={\mathbb{P}}^2$ we determine what numbers can appear as the Segre Invariant of a rank $2$ vector…