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

Abstract

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].

45 pages. General minor changes. Major changes in the introduction. References added

References in corpus (2)

• Bounds on Fake Weighted Projective Space
• Computational procedures for weighted projective spaces

Cited by in corpus (5)

• Local Euler obstructions of toric varieties
• An asymptotic description of the Noether-Lefschetz components in toric varieties
• Geometry of Weighted Homogeneous Spaces
• Generation of jets and Fujita's jet ampleness conjecture on toric varieties
• A duality theorem for syzygies of Veronese ideals