Deformations of equivelar Stanley-Reisner abelian surfaces
Algebraic Geometry
2011-02-15 v2
Abstract
The versal deformation of Stanley-Reisner schemes associated to equivelar triangulations of the torus is studied. The deformation space is defined by binomials and there is a toric smoothing component which I describe in terms of cones and lattices. Connections to moduli of abelian surfaces are considered. The case of the M\"obius torus is especially nice and leads to a projective Calabi-Yau 3-fold with Euler number 6.
Keywords
Cite
@article{arxiv.1003.4004,
title = {Deformations of equivelar Stanley-Reisner abelian surfaces},
author = {Jan Arthur Christophersen},
journal= {arXiv preprint arXiv:1003.4004},
year = {2011}
}
Comments
Revised version. Small improvements. Added drawings