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Toroidal embeddings and polyhedral divisors

2007/07/06 by Robert Vollmert, Vollmert, Robert · 1 citation
Mathematics · #14M25 (Primary) 14L30 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0707.0917

openalex publication_date 2007/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given an effective action of an (n-1)-dimensional torus on an n-dimensional normal affine variety, Mumford constructs a toroidal embedding, while Altmann and Hausen give a description in terms of a polyhedral divisor on a curve. We compare the fan of the toroidal embedding with this polyhedral divisor.

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