Elliptic Hypertoric Varieties
Algebraic Geometry
2022-04-27 v1 Symplectic Geometry
Abstract
We introduce elliptic hypertoric varieties, which is an elliptic analogue of hypertoric varieties and multiplicative hypertoric varieties. We also prove an elliptic version of Hikita conjecture, which relates elliptic (resp. additive and mulitplicative) hypertoric varieties to the equivariant elliptic cohomology (resp. ordinary cohomology and K-theory) of their 3d mirror hypertoric varieties.
Cite
@article{arxiv.2204.12233,
title = {Elliptic Hypertoric Varieties},
author = {Naichung Conan Leung and Xiao Zheng},
journal= {arXiv preprint arXiv:2204.12233},
year = {2022}
}
Comments
24 pages, comments welcome!