I want to know some examples of moduli schemes of (geometrically) stable sheaves over a higher dimensional base scheme.
The simpliest base schemes are the projective spaces $\mathbb{P}^n$ for $n\geq2$. However, I fail to find relevant research.
I want to know what are the moduli spaces of sheaves on $\mathbb{P}^n$. Have people figured them out clearly or are they still mysteries?