The stability manifold of local orbifold elliptic quotients
Algebraic Geometry
2022-09-01 v3
Abstract
In this paper, we investigate the stability manifold of local models of orbifold quotients of elliptic curves. In particular, we describe a component of the stability manifold which maps as a covering space onto the universal unfolding space of the mirror singularity. The construction requires a detailed study of the McKay correspondence for surface singularities and a study of wall-crossing phenomena.
Keywords
Cite
@article{arxiv.1906.03733,
title = {The stability manifold of local orbifold elliptic quotients},
author = {Franco Rota},
journal= {arXiv preprint arXiv:1906.03733},
year = {2022}
}
Comments
V2: 29 pages, added Lemma 5.13 to fill a gap in the argument, no result is affected. Comments are welcome! V3: 32 pages, main results now stated for normalized stability conditions. Several improvements under referee suggestions. To appear in J. London Math. Soc