Desingularizations of some Weighted Projective Planes

Details Desingularizations of some Weighted Projective Planes Desingularizations of some Weighted Projective Planes

2007-10-17

arxiv.org/abs/0710.3409v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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.

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