2007/05/29 by Nicholas J. Proudfoot, Proudfoot, Nicholas J. · 1 citation
Mathematics · #14F43 #14M25 #52C35 #53C26 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.CO #msc:14F43 #msc:14M25 #msc:52C35 #msc:53C26
paper · pdf · doi:10.48550/arxiv.0705.4236
arxiv created 2007/05/29 · arxiv updated 2009/12/01
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.