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Invariant Hilbert schemes

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abstract

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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math.AG 1

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2026 1

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Virtual Jeffrey--Kirwan localisation

math.AG · 2026-07-06 · 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.

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  • Virtual Jeffrey--Kirwan localisation math.AG · 2026-07-06 · accept · none · ref 10 · internal anchor

    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.