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math.AG1999
The Equivalence of Hilbert and Mumford Stability for Vector Bundles
Alexander Schmitt
In this paper, we prove that the notions of Hilbert stability and Mumford stability agree for vector bundles of arbitrary rank over smooth curves. The notion of Hilbert stability w…
math.AG1999
Walls for Gieseker semistability and the Mumford-Thaddeus principle for moduli spaces of sheaves over higher dimensional bases
Alexander Schmitt
Let be a complex projective manifold. Fix two ample line bundles and on . It is the aim of this note to study the variation of the moduli spaces of Gieseker semi…