Weighted Projective Spaces from the toric point of view with computational applications

Details Weighted Projective Spaces from the toric point of view with computational applications Weighted Projective Spaces from the toric point of view with computational applications

2011-12-07

arxiv.org/abs/1112.1677v2

Mathematics

Algebraic Geometry

45 pages. Acknowledgements and references added

Scientific paper

The purpose of the present paper is threefold. First: giving a survey on weighted projective spaces by the toric point of view, which seems to be missing in the literature. Second: providing characterizations of fans and polytopes giving (polarized, in case) weighted projective spaces, so inaugurating a kind of \emph{recognition process} of toric data like fans and polytopes. Third: building a mathematical framework for an algorithmic and computational approach to wps's, actually realized in [19,20].

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