The tangent space at a special symplectic instanton bundle on P^{2n+1}
Abstract
Let
M
I
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
M
I
P
2n+1
(k)
), We prove that the dimension of its Zariski tangent space at a special (symplectic) instanton bundle is
2k(5n−1)+4
n
2
−10n+3,k≥2
. It follows that special symplectic instanton bundles are smooth points for
k≤3