2007/10/17 by Jeremiah M. Kermes, Kermes, Jeremiah M.
Mathematics · #14M25 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14M25
paper · pdf · doi:10.48550/arxiv.0710.3409
12 pages
arxiv created 2007/10/17 · openalex publication_date 2007/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we discuss the desingularization algorithm for a toric surface. In particular, we construct an iterable method of determining the Hirzebruch-Jung continued fraction decomposition. These results are then applied to weighted projective planes with at least one tivial weight, \mathbb P(1,m,n). The paper concludes with the development of a computer program that computes this continued fraction decomposition.