2009/11/24 by Sérgio Da Silva, Sergio Da Silva, Da Silva, Sergio +2
Mathematics · #14E05 #14M25 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #math.CO #msc:14E05 #msc:14M25
paper · pdf · doi:10.48550/arxiv.0911.4693
19 pages, 8 figures
arxiv created 2009/11/24 · openalex publication_date 2009/11/24 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Oda's Strong Factorization Conjecture states that a proper birational map between smooth toric varieties can be decomposed as a sequence of smooth toric blowups followed by a sequence of smooth toric blowdowns. This article describes an algorithm that conjecturally constructs such a decomposition. Several reductions and simplifications of the algorithm are presented and some special cases of the conjecture are proved.