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RELATIVE GEOMETRIC INVARIANT THEORY AND UNIVERSAL MODULI SPACES

    https://doi.org/10.1142/S0129167X96000098Cited by:8 (Source: Crossref)

    We expose in detail the principle that the relative geometric invariant theory of equivariant morphisms is related to the GIT for linearizations near the boundary of the G-effective ample cone. We then apply this principle to construct and reconstruct various universal moduli spaces. In particular, we constructed the universal moduli space over of Simpson’s p-semistable coherent sheaves and a canonical rational morphism from the universal Hilbert scheme over to a compactified universal Picard.