Moduli spaces of curves with linear series and the slope conjecture
| dc.creator | Khosla, Deepak | |
| dc.date | 2006-08-01 | |
| dc.date.accessioned | 2026-07-07T07:21:16Z | |
| dc.date.available | 2026-07-07T07:21:16Z | |
| dc.description | We describe the moduli space G^r_d of triples consisting of a curve C, a line bundle L on C of degree d, and a linear system V on L of dimension r. This moduli space extends over a partial compactification {\tilde M_g} of M_g inside {\bar M_g}. For the proper map h : G^r_d --> \tilde M_g, we compute the push-forward on Chow 1-cocyles in the case where h has relative dimension zero. As a consequence we obtain another counterexample to the Harris-Morrison slope conjecture as well as an infinite sequence of potential counterexamples. | |
| dc.description | 22 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0608024 | |
| dc.identifier | http://arxiv.org/abs/math/0608024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115242 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10; 14H51 | |
| dc.title | Moduli spaces of curves with linear series and the slope conjecture | |
| dc.type | text |