Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson Conjecture

Debojyoti Bhattacharya, Sarbeswar Pal

Let $S\subset {\mathbb{P}}^3$ be a very general sextic surface over complex numbers. Let $\mathcal{M}(H,c_2)$ be the moduli space of rank $2$ stable bundles on $S$ with fixed first…