Effective divisors on $M_g$ and a counterexample to the Slope Conjecture

Details Effective divisors on $M_g$ and a counterexample to the Slope Conjecture Effective divisors on $M_g$ and a counterexample to the Slope Conjecture

2002-09-13

arxiv.org/abs/math/0209171v2

Mathematics

Algebraic Geometry

7 pages, minor expository changes

Scientific paper

We prove two statements on the slopes of effective divisors on the moduli space of stable curves of genus g: first that the Harris-Morrison Slope Conjecture fails for g=10 and second, that in order to compute the slope of the moduli space of curves for g\leq 23, one only has to consider the coefficients of the Hodge class and that of the boundary divisor \delta_0 in the expansion of the relevant divisors. We conjecture that the same statement holds in arbitrary genus.

Affiliated with

Also associated with

No associations

Rating

Effective divisors on $M_g$ and a counterexample to the Slope Conjecture 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 Effective divisors on $M_g$ and a counterexample to the Slope Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective divisors on $M_g$ and a counterexample to the Slope Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330887