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[HPP25] Emmanuel Humbert, Romain Petrides, and Bruno Premoselli

2 Pith papers cite this work. Polarity classification is still indexing.

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2026 2

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Gaiotto Loci and the Nilpotent Cone for $\mathrm{Sp}_{2n}(\mathbb C)$

math.AG · 2026-05-04 · unverdicted · novelty 6.0

For the standard representation of Sp_{2n}(C), the Gaiotto locus is the Bialynicki-Birula closure associated to U(Sp_{2n-2}(C)) inside the nilpotent cone, and its intersection with the stable cotangent chart is the closure of the conormal bundle to the one-spinor stratum of the generalized theta-div

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  • Gaiotto Loci and the Nilpotent Cone for $\mathrm{Sp}_{2n}(\mathbb C)$ math.AG · 2026-05-04 · unverdicted · none · ref 60

    For the standard representation of Sp_{2n}(C), the Gaiotto locus is the Bialynicki-Birula closure associated to U(Sp_{2n-2}(C)) inside the nilpotent cone, and its intersection with the stable cotangent chart is the closure of the conormal bundle to the one-spinor stratum of the generalized theta-div

  • Conformally critical metrics and optimal bounds for Dirac eigenvalues on spin surfaces math.DG · 2026-04-16 · unverdicted · none · ref 12

    A criterion for existence of minimizers of Dirac eigenvalues in conformal classes on spin surfaces yields optimal isoperimetric inequalities and a complete characterization of the conformal spectrum on the sphere.