|
Abstract:
Let K be an algebraically closed field of characteristic different
from 2. We prove the First and Second Fundamental Theorems for the rings of
invariants for certain canonical actions of SL(n), SO(n) (with entries in K)
on certain affine spaces. As a consequence we prove the Cohen-Macaulayness
of the corresponding rings of invariants. As an application, we obtain a
proof of the Cohen-Macaulayness of the moduli space of equivalence classes
of semi-stable rank 2, degree 0 vector bundles on a smooth projective curve.
|
