Given a lattice polytope Q subset of or equal to R-n, we define an affine scheme (M) over bar that reflects the possibilities of splitting Q into a Minkowski sum, Denoting by Y the toric Gorenstein singularity induced by Q, we construct a flat family over (M) over bar with Y as special fiber. In case Y has an isolated singularity, this family is versal.
机构:
Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China