English

Desingularizations of some Weighted Projective Planes

Algebraic Geometry 2007-10-19 v1

Abstract

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, P(1,m,n){\mathbb P}(1,m,n). The paper concludes with the development of a computer program that computes this continued fraction decomposition.

Keywords

Cite

@article{arxiv.0710.3409,
  title  = {Desingularizations of some Weighted Projective Planes},
  author = {Jeremiah M. Kermes},
  journal= {arXiv preprint arXiv:0710.3409},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-06-21T09:33:22.790Z