The tangent space at a special symplectic instanton bundle on P^{2n+1}

Let $MI_{ Simp,P^{ 2n+1}}(k)$ be the moduli space of stable symplectic instanton bundles on $P^{ 2n+1}$ with second Chern class $c_2=k$ (it is a closed subscheme of the moduli space $MI_{ P^{ 2n+1}}(k)$), We prove that the dimension of its Zariski tangent space at a special (symplectic) instanton bundle is $2k(5n-1)+4n^2-10n+3, k\geq 2$. It follows that special symplectic instanton bundles are smooth points for $ k \leq 3 $

Categories: alg-geom math.AG