Rigid curves on $\bar M_{0,n}$ and arithmetic breaks
Algebraic Geometry
2013-12-02 v2
Abstract
A result of Keel and McKernan states that a hypothetical counterexample to the F-conjecture must come from rigid curves on that intersect the interior. We exhibit several ways of constructing rigid curves. In all our examples, a reduction mod p argument shows that the classes of the rigid curves that we construct can be decomposed as sums of F-curves.
Cite
@article{arxiv.1109.6705,
title = {Rigid curves on $\bar M_{0,n}$ and arithmetic breaks},
author = {Ana-Maria Castravet and Jenia Tevelev},
journal= {arXiv preprint arXiv:1109.6705},
year = {2013}
}
Comments
46 pages; final version