Rigid curves on $\bar M_{0,n}$ and arithmetic breaks

Details Rigid curves on $\bar M_{0,n}$ and arithmetic breaks Rigid curves on $\bar M_{0,n}$ and arithmetic breaks

2011-09-30

arxiv.org/abs/1109.6705v1

Mathematics

Algebraic Geometry

To appear in "Compact Moduli Spaces and Vector Bundles", Proceedings of the International Conference held at the University of

Scientific paper

A result of Keel and McKernan states that a hypothetical counterexample to
the F-conjecture must come from rigid curves on $\bar {M}_{0,n}$ 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.

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