The connectedness of the moduli space of maps to homogeneous spaces
| dc.creator | Kim, B. | |
| dc.creator | Pandharipande, R. | |
| dc.date | 2000-03-27 | |
| dc.date.accessioned | 2026-07-07T04:34:27Z | |
| dc.date.available | 2026-07-07T04:34:27Z | |
| dc.description | We prove the connectedness of the moduli space of maps (of fixed genus and homology class) to the homogeneous space G/P by degeneration via the maximal torus action. In the genus 0 case, the irreducibility of the moduli of maps is a direct consequence of connectedness. An analysis of a related Bialynicki-Birula stratification of the map space yields a rationality result: the (coarse) moduli space of genus 0 maps to G/P is a rational variety. The rationality argument depends essentially upon rationality results for quotients of SL2 representations proven by Katsylo and Bogomolov. | |
| dc.description | 14 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/0003168 | |
| dc.identifier | http://arxiv.org/abs/math/0003168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58907 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The connectedness of the moduli space of maps to homogeneous spaces | |
| dc.type | text |