Constructing projective varieties in weighted flag varieties

Muhammad Imran Qureshi; Balázs Szendri

doi:10.1112/blms/bdr012

Constructing projective varieties in weighted flag varieties

Muhammad Imran Qureshi^*
, Balázs Szendri

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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 polarized projective varieties in codimensions 8 and 6, respectively.

Original language	English
Pages (from-to)	786-798
Number of pages	13
Journal	Bulletin of the London Mathematical Society
Volume	43
Issue number	4
DOIs	https://doi.org/10.1112/blms/bdr012
State	Published - Aug 2011
Externally published	Yes

Bibliographical note

Funding Information:
Received 21 August 2010; revised 9 December 2010; published online 6 April 2011. 2000 Mathematics Subject Classification 14M15, 14J30. The first author was supported by a grant from the Higher Education Commission(HEC), Pakistan.

ASJC Scopus subject areas

General Mathematics

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10.1112/blms/bdr012

Cite this

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title = "Constructing projective varieties in weighted flag varieties",

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 polarized projective varieties in codimensions 8 and 6, respectively.",

author = "Qureshi, \{Muhammad Imran\} and Bal{\'a}zs Szendri",

note = "Funding Information: Received 21 August 2010; revised 9 December 2010; published online 6 April 2011. 2000 Mathematics Subject Classification 14M15, 14J30. The first author was supported by a grant from the Higher Education Commission(HEC), Pakistan.",

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N2 - 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 polarized projective varieties in codimensions 8 and 6, respectively.

AB - 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 polarized projective varieties in codimensions 8 and 6, respectively.

UR - https://www.scopus.com/pages/publications/79960785538

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DO - 10.1112/blms/bdr012

M3 - Article

AN - SCOPUS:79960785538

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EP - 798

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 4

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Constructing projective varieties in weighted flag varieties

Abstract

Bibliographical note

ASJC Scopus subject areas

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