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Constructing projective varieties in weighted flag varieties II

Published online by Cambridge University Press:  13 January 2015

MUHAMMAD IMRAN QURESHI
MUHAMMAD IMRAN QURESHI*
Affiliation:
Lums School of Science and Engineering, U-Block, DHA, Lahore, Pakistan. e-mail: [email protected]
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Abstract

We give the construction of weighted Lagrangian Grassmannians wLGr(3,6) and weighted partial A3 flag variety wFL1,3 coming from the symplectic Lie group Sp(6, ℂ) and the general linear group GL(4, 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. Finally, we list all the distinct weighted flag varieties in codimension (4 ⩽ c ⩽ 10.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 158 , Issue 2 , March 2015 , pp. 193 - 209
Copyright
Copyright © Cambridge Philosophical Society 2015 

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