Completions of fans

Abstract

In a finite-dimensional real vector space furnished with a rational structure with respect to a subfield of the field of real numbers, every (simplicial) rational semifan is contained in a complete (simplicial) rational semifan. In this paper this result is proved constructively on use of techniques from polyhedral geometry.

minor corrections

Cited by in corpus (4)

• Embedding non-projective Mori Dream Spaces
• Embedding the Picard group inside the class group: the case of $\Q$-factorial complete toric varieties
• Normal completions of toric varieties over rank one valuation rings and completions of $\Gamma$-admissible fans
• Étale coverings in codimension 1 with applications to Mori Dream Spaces