Constructing projective varieties in weighted flag varieties

Mathematics – Algebraic Geometry

Scientific paper

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17 pages, 1 figure

Scientific paper

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.

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