Z-linear Gale duality and poly weighted spaces (PWS)

Abstract

The present paper is devoted to discussing Gale duality from the Z-linear algebraic point of view. This allows us to isolate the class of Q-factorial complete toric varieties whose class group is torsion free, here called poly weighted spaces (PWS), as an interesting generalization of weighted projective spaces (WPS).

29 pages: revised version to appear in Linear Algebra and Its Applications. Major changes: the paper has been largely rewritten following refree's comments. In particular, main geometric results have been anticipated giving rise to the motivational Section 2

References in corpus (2)

• Fake weighted projective spaces
• A Q-factorial complete toric variety is a quotient of a poly weighted space

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