English

Constructing projective varieties in weighted flag varieties II

Algebraic Geometry 2019-02-20 v3

Abstract

We give the construction of weighted Lagranngiann GrassmannianswLGr(3,6)wLGr(3,6) and weighted partial A3A_3 flag variety wFl1,3wFl_{1,3} coming from the symplectic Lie group Sp(6,C)Sp(6,\mathbb C) and the general linear group GL(4,C)GL(4,\mathbb C) respectively. We give general formulas for their Hilbert series in terms of Lie theoretic data. We use them as key varieties (Format) to construct some families of polarized 3-folds in codimension 7 and 9. At the end, we list all the distinct weighted flag varieties in codimension 4c104\le c\le 10.

Keywords

Cite

@article{arxiv.1401.2918,
  title  = {Constructing projective varieties in weighted flag varieties II},
  author = {Muhammad Imran Qureshi},
  journal= {arXiv preprint arXiv:1401.2918},
  year   = {2019}
}

Comments

20 Pages, Minor changes, To appear in Math. Proc. Camb. Phil. Soc

R2 v1 2026-06-22T02:44:14.435Z