Desingularizations of some Weighted Projective Planes

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). The paper concludes with the development of a computer program that computes this continued fraction decomposition.

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