Erratum: Linear Projections and Successive Minima

Abstract

The proof of Proposition 1 and Theorem 2 in [3] is incorrect. Indeed, Sections 2.5 and 2.7 in [3] contain a vicious circle: the definition of the filtrationVi, 1 ≤i≤n, in Section 2.5 of that article depends on the choice of the integersni, when the definition of the integersniin Section 2.7 depends on the choice of the filtration(Vi). Thus, only Theorem 1 and Corollary 1 in [3] are proved. In the following we will prove another result instead of [3, Proposition 1].