Erratum: Every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spaces (International Mathematics Research Notices DOI: 10.1093/imrn/rnv066)

Abstract

We are very grateful to Benjamin Nill for noticing the mistake. Our definition of reflexive polytopes, given on page 12455, is not correct. A reflexive polytope must be a lattice polytope. Therefore Corollary 5.2 needs an extra assumption: if a symplectic toric manifold M corresponds to a polytope = {x Rn | x, vj ?j, j = 1, . . . ,d}, we need to assume that the polytope = {x Rn | x, vj 1, j = 1, . . . ,d} is a smooth lattice polytope. (Formula Presented). © 2021 Oxford University Press. All rights reserved.