The Weil-Petersson form on an acyclic cluster variety
Rings and Algebras
2011-03-14 v1 Algebraic Geometry
Abstract
The Weil-Petersson form on a cluster variety is a 2-form on a certain open smooth subvariety; the union of the cluster tori. We show that for acyclic cluster varieties, the Weil-Petersson 2-form extends to a regular K\"ahler 2-form on the entire cluster variety.
Cite
@article{arxiv.1103.2341,
title = {The Weil-Petersson form on an acyclic cluster variety},
author = {Greg Muller},
journal= {arXiv preprint arXiv:1103.2341},
year = {2011}
}
Comments
10 pages