Framed instanton pairs on the blow-up of the projective 3-space at a point

Abstract

We study some Huybrechts and Lehn framed sheaves on the Fano 3-fold given by blowing-up the 3-projective space at a point. In contrast with the cases of curves and surfaces, there are very few examples in higher dimensions. In this notes we give a new example of such pairs in dimension 3 and prove that the moduli space under study is fine, quasi-projective and unobstructed.