Constructing projective varieties in weighted flag varieties

Published 11 Aug 2010 in math.AG | (1008.1947v1)

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.

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