Stability of torsion free sheaves on curves and infinite-dimensional Grassmanian manifold
نویسنده
چکیده
In [3] and [7] are described the Krichever map from the set of torsion free sheaves on curves with some additional datas to an infinite-dimensional Grassmanian manifold. In this note we investigate the images of (semi)stable rank 2 torsion free sheaves on curves via the Krichever map and verify some analog of G.I.T. Hilbert-Mumford numerical criterion (theorem 2) with respect to actions of some one-parametric subgroups of the group SL(2, k[[z]] on the determinant bundle of the infinite-dimensional Grassmanian manifold.
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