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Discriminants and Quasi-symmetry

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arxiv 1711.08940 v1 pith:K7R3Y7TE submitted 2017-11-24 math.AG math.RT

Alex Kite This is my paper · ORCID
classification math.AGmath.RT
keywords arrangementhyperplanerepresentationappearingassociateddiscriminantdiscriminantsgeometric
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This paper gives a geometric interpretation of the notion of quasi-symmetric representation and uses this to show that the discriminant locus associated to such a representation is a hyperplane arrangement. Moreover, we identify this hyperplane arrangement, up to a shift, with the one appearing in recent work of Halpern-Leistner--Sam

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Cited by 1 Pith paper

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  1. A class of perverse schobers in Geometric Invariant Theory

    math.AG 2019-08 accept novelty 7.0 of 10

    For any quasi-symmetric representation of a reductive group, the derived categories of GIT quotients form a perverse schober on the partial compactification of the stringy Kähler moduli space.

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