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

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arxiv 1112.1677 v3 pith:LPM3Q2GR submitted 2011-12-07 math.AG

Michele Rossi , Lea Terracini This is my paper · ORCID
classification math.AG
keywords projectivespacestoricweightedcomputationalfansgivingpoint
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The purpose of the present paper is threefold. First: giving a treatise on weighted projective spaces by the toric point of view. Second: providing characterizations of fans and polytopes giving weighted projective spaces, with particular focus on a kind of \emph{recognition process} of toric data like fans and polytopes. Third: building a mathematical framework for the algorithmic and computational approach to wps's realized in [23,24].

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  1. Cohomology of hypersurfaces of weighted projective space and the intersection form on $H^2$

    math.AG 2025-06 reject novelty 6.0 of 10

    The cohomology and intersection form of smooth hypersurfaces in weighted projective spaces are computed explicitly via Alexander duality and a covering by ordinary projective space.

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