Relative Geometric Invariant Theory and Universal Moduli Spaces
| dc.creator | Hu, Yi | |
| dc.date | 1995-04-25 | |
| dc.date.accessioned | 2026-07-07T09:06:28Z | |
| dc.date.available | 2026-07-07T09:06:28Z | |
| dc.description | 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 $\overline{M_g}$ of Simpson's $p$-semistable coherent sheaves and a canonical dominating morphism from the universal Hilbert scheme over $\overline{M_g}$ to a compactified universal Picard. | |
| dc.description | 31 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9504014 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9504014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150015 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Relative Geometric Invariant Theory and Universal Moduli Spaces | |
| dc.type | text |