The cone of type A, level one conformal blocks divisors

By Noah Giansiracusa, A. Gibney. 2011

52 citations recorded by the source corpus.

We prove that the type A, level one, conformal blocks divisors on $\bar{M}_{0,n}$ span a finitely generated, full-dimensional subcone of the nef cone. Each such divisor induces a morphism from $\bar{M}_{0,n}$, and we identify its image as a GIT quotient parameterizing configurations of points supported on a flat limit of Veronese curves. We show how scaling GIT linearizations gives geometric meaning to certain identities among conformal blocks divisor classes. This also gives modular interpretations, in the form of GIT constructions, to the images of the hyperelliptic and cyclic trigonal loci in $\bar{M}_{g}$ under an extended Torelli map.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3111b527e7af43a94e26a8ce6746ea04cb7106ca

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

$\overline{M}_{0,n}$ is not a Mori Dream Space (2013, background): “however, M0,n is not log-Fano for n ≥ 7). Since [HK00], the question whether M0,n is a MDS was raised by several authors, see for example [Cas09], [AGS10], [GM10], [Kie10], [McK10], [Fed11], [BHK12], [GG12], [GHPS12], [GM12], [BGM13], [CT13], [GJM13], [Lar13]. One of the results in [GHPS12] is that ”