The Geometry of the Space of Holomorphic Maps from a Riemann Surface into Complex Projective Space
| dc.creator | Kallel, S. | |
| dc.creator | Milgram, R. J. | |
| dc.date | 1997-10-20 | |
| dc.date.accessioned | 2026-07-07T01:51:13Z | |
| dc.date.available | 2026-07-07T01:51:13Z | |
| dc.description | In this paper we study the topology of the spaces Hol(M,P{n},k) of (basepoint preserving) holomorphic maps of a given degree k from a Riemann surface M of genus g>0 into the n-th complex projective space P{n}, n>0. Using symmetric products of the surface as well as the geometry of the associated Abel-Jacobi maps, we construct an explicit topological compactification of Hol(M,P{n},k) which allow us to construct spectral sequences with known E_1-terms that can be used to determine the homology groups of Hol(M,P{n},k). Complete calculations are given for the elliptic case (g=1). Complete rational calculations are also given for hyperelliptic curves. | |
| dc.description | 47 pages, plain TeX. To appear in J. Diff. Geo | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9710024 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9710024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/240 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Geometry of the Space of Holomorphic Maps from a Riemann Surface into Complex Projective Space | |
| dc.type | text |