Nilpotent orbits and Hilbert schemes

Craig Jackson

We construct embeddings ${\mathcal{Y}}_{n,\tau }\to {Hilb}^n({\Sigma }_{\tau })$ for each of the classical Lie algebras $\ger{sp}_{2m}(\Cc)$, $\ger{so}_{2m}(\Cc)$, and $\ger{so}_{2m+1}(\Cc)$. The sp…