A survey of hypertoric geometry and topology

Abstract

Hypertoric varieties are quaternionic analogues of toric varieties, important for their interaction with the combinatorics of matroids as well as for their prominent place in the rapidly expanding field of algebraic symplectic and hyperkahler geometry. The aim of this survey is to give clear definitions and statements of known results, serving both as a reference and as a point of entry to this beautiful subject.

References in corpus (2)

• Hyperkahler analogues of Kahler quotients
• A nonhausdorff model for the complement of a complexified arrangement

Cited by in corpus (4)

• Strong regular embeddings of Deligne-Mumford stacks and hypertoric geometry
• An algebro-geometric realization of the cohomology ring of Hilbert scheme of points in the affine plane
• Ehrhart Theory for Lawrence Polytopes and Orbifold Cohomology of Hypertoric Varieties
• Fibred toric varieties in toric hyperkähler varieties