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Invariant Hilbert schemes

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arxiv 1102.0198 v2 pith:B5NTA7US submitted 2011-02-01 math.AG

Invariant Hilbert schemes

Michel Brion (IF) This is my paper
classification math.AG
keywords schemesactionaffineapplicationsarticleclassificationemphasisequipped
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This is a survey article on moduli of affine schemes equipped with an action of a reductive group. The emphasis is on examples and applications to the classification of spherical varieties.

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  1. Virtual Jeffrey--Kirwan localisation

    math.AG 2026-07 accept novelty 7.0

    Virtual integrals over GIT quotients X//G equal Jeffrey–Kirwan residues of virtual integrals over T-fixed loci, for perfect obstruction theories and oriented (−2)-shifted symplectic structures, in cohomology and K-theory.