Positive divisors on quotients of $\bar{M}_{0,n}$ and the Mori cone of $\bar{M}_{g,n}$

Details Positive divisors on quotients of $\bar{M}_{0,n}$ and the Mori cone of $\bar{M}_{g,n}$ Positive divisors on quotients of $\bar{M}_{0,n}$ and the Mori cone of $\bar{M}_{g,n}$

2007-12-17

arxiv.org/abs/0712.2756v1

Mathematics

Algebraic Geometry

Preliminary version, comments are welcome

Scientific paper

We prove that if $m \ge n-3$ then every $S_m$-invariant F-nef divisor on the
moduli space of stable $n$-pointed curves of genus zero is linearly equivalent
to an effective combination of boundary divisors. As an application, we
determine the Mori cone of the moduli spaces of stable curves of small genus
with few marked points.

Affiliated with

Also associated with

No associations

Rating

Positive divisors on quotients of $\bar{M}_{0,n}$ and the Mori cone of $\bar{M}_{g,n}$ 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 Positive divisors on quotients of $\bar{M}_{0,n}$ and the Mori cone of $\bar{M}_{g,n}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positive divisors on quotients of $\bar{M}_{0,n}$ and the Mori cone of $\bar{M}_{g,n}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116561