English

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

Algebraic Geometry 2016-02-03 v2

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).

Keywords

Cite

@article{arxiv.1501.05244,
  title  = {Z-linear Gale duality and poly weighted spaces (PWS)},
  author = {Michele Rossi and Lea Terracini},
  journal= {arXiv preprint arXiv:1501.05244},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T08:08:45.768Z