Moduli of twisted spin curves
| dc.creator | Abramovich, Dan | |
| dc.creator | Jarvis, Tyler J. | |
| dc.date | 2001-04-13 | |
| dc.date.accessioned | 2026-07-07T04:41:19Z | |
| dc.date.available | 2026-07-07T04:41:19Z | |
| dc.description | In this note we give a new, natural construction of a compactification of the stack of smooth r-spin curves, which we call the stack of stable twisted $r$-spin curves. This stack is identified with a special case of a stack of twisted stable maps of Abramovich and Vistoli. Realizations in terms of admissible G_m-spaces and Q-line bundles are given as well. The infinitesimal structure of this stack is described in a relatively straightforward manner, similar to that of usual stable curves. We construct representable morphisms from the stacks of stable twisted r-spin curves to the stacks of stable r-spin curves, and show that they are isomorphisms. Many delicate features of r-spin curves, including torsion free sheaves with power maps, arise as simple by-products of twisted spin curves. Various constructions, such as the d bar-operator of Seeley and Singer and Witten's cohomology class go through without complications in the setting of twisted spin curves. | |
| dc.description | 10 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0104154 | |
| dc.identifier | http://arxiv.org/abs/math/0104154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61309 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10 | |
| dc.title | Moduli of twisted spin curves | |
| dc.type | text |