Gaussian maps, Gieseker-Petri loci and large theta-characteristics
| dc.creator | Farkas, Gavril | |
| dc.date | 2004-02-03 | |
| dc.date | 2004-04-05 | |
| dc.date.accessioned | 2026-07-07T06:26:07Z | |
| dc.date.available | 2026-07-07T06:26:07Z | |
| dc.description | We analyze the stratification of the moduli space S_g of spin curves of genus g given by the dimension of the theta-characteristic. Using the relation between gaussian maps and the strata S_g^r, we construct "regular" components of S_g^r having expected codimension r(r+1)/2 inside S_g. We also relate moduli spaces of pointed curves with a moving spin structure to the classical Gieseker-Petri loci in M_g. We show that the locus of curves for which the Gieseker-Petri theorem fails for a pencil is always a divisor on M_g. Finally, we give a sufficient criterion for the injectivity of Gaussian maps of arbitrary line bundles on general curves of genus g. | |
| dc.description | 22 pages. Minor revisions, to appear in Crelle | |
| dc.identifier | https://arxiv.org/abs/math/0402042 | |
| dc.identifier | http://arxiv.org/abs/math/0402042 | |
| dc.identifier | J. reine angew. Math. 581(2005), 151-173. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97017 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Gaussian maps, Gieseker-Petri loci and large theta-characteristics | |
| dc.type | text |