First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface

Details First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface

2007-10-15

arxiv.org/abs/0710.2821v2

Mathematics

Algebraic Geometry

33 pages, 10 figures, in French

Scientific paper

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 $\tau$ of permutation group $S_k$ acting on marked points. Each corresponding real part $\R_{\tau}\bar{\mathcal{M}}_{0,k}(X,d)$ 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.

Affiliated with

Also associated with

No associations

Rating

First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and First Stiefel-Whitney class of real moduli spaces of stable maps to a convex surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126999