First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface
| dc.creator | Puignau, Nicolas | |
| dc.date | 2007-10-15 | |
| dc.date | 2008-05-20 | |
| dc.date.accessioned | 2026-07-07T09:39:31Z | |
| dc.date.available | 2026-07-07T09:39:31Z | |
| dc.description | Let $(X,c_X)$ be a convex projective surface equipped with a real structure. The space of stable maps $\bar{\mathcal{M}}_{0,k}(X,d)$ carries different real structures induced by $c_X$ and any order two element $τ$ of permutation group $S_k$ acting on marked points. Each corresponding real part $\R_τ\bar{\mathcal{M}}_{0,k}(X,d)$ is a real normal projective variety. As the singular locus is of codimension bigger than two, these spaces thus carry a first Stiefel-Whitney class for which we determine a representative in the case $k=c_1(X)d-1$ where $c_1(X)$ is the first Chern class of $X$. Namely, we give a homological description of these classes in term of the real part of boundary divisors of the space of stable maps. | |
| dc.description | 33 pages, 10 figures, in French | |
| dc.identifier | https://arxiv.org/abs/0710.2821 | |
| dc.identifier | http://arxiv.org/abs/0710.2821 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161197 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14F43; 14N35; 32V40 | |
| dc.title | First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface | |
| dc.type | text |