Compact moduli of noncommutative projective planes
Algebraic Geometry
2014-12-01 v1
Abstract
We introduce the notion of the moduli stack of relations of a quiver. When the quiver with relations is derived-equivalent to an algebraic variety, the corresponding compact moduli scheme can be viewed as a compact moduli of noncommutative deformations of the variety. We study the case of noncommutative projective planes in detail, and discuss its relation with geometry of elliptic curves with level 3 structures.
Cite
@article{arxiv.1411.7770,
title = {Compact moduli of noncommutative projective planes},
author = {Tarig Abdelgadir and Shinnosuke Okawa and Kazushi Ueda},
journal= {arXiv preprint arXiv:1411.7770},
year = {2014}
}
Comments
28 pages, 3 figures