English

Constructing projective varieties in weighted flag varieties

Algebraic Geometry 2014-02-26 v1

Abstract

We compute the Hilbert series of general weighted flag varieties and discuss a computer-aided method to determine their defining equations. We apply our results to weighted flag varieties coming from the Lie groups of type G_2 and GL(6), to construct some families of polarised projective varieties in codimensions 8 and 6, respectively.

Keywords

Cite

@article{arxiv.1008.1947,
  title  = {Constructing projective varieties in weighted flag varieties},
  author = {Muhammad Imran Qureshi and Balazs Szendroi},
  journal= {arXiv preprint arXiv:1008.1947},
  year   = {2014}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-21T15:59:34.761Z