The fibers of the Prym map
| dc.creator | Donagi, Ron | |
| dc.date | 1992-06-17 | |
| dc.date | 1992-06-23 | |
| dc.date.accessioned | 2026-07-07T08:57:39Z | |
| dc.date.available | 2026-07-07T08:57:39Z | |
| dc.description | In this work we use the bigonal, trigonal and tetragonal constructions to describe the fibers of the Prym map P : R_{g} ---->A_{g-1} inthe cases when it is dominant, i.e. for g < 7. The most interesting cases are g = 5, where the fiber is a double cover of the Fano surface of lines on a cubic threefold, and g=6, where the map is generically finite (of degree 27) with Galois group WE_{6}, so that the general fiber has the structure of the 27 lines on a cubic surface. For g > 6, the map is known to be generically injective. The tetragonal construction gives many counterexamples to injectivity, and we conjecture that all noninjectivity is due to the tetragonal construction. | |
| dc.description | 71 pages, LATEX, (This is a reformatted version. It should print better than its predecessor.) | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9206008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9206008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147049 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The fibers of the Prym map | |
| dc.type | text |