Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.
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Introduces K-stability and Ding stability for adjoint foliated structures, proves reduction to special test configurations and valuative criteria via mixed invariants, and shows boundedness of K-semistable adjoint Fano foliated structures with bounded volume.
Proves C^{1,1} regularity for a degenerate fully nonlinear equation on Hermitian manifolds with balanced metrics, yielding unique C^{1,1} solutions to the Donaldson equation.
citing papers explorer
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A connection between minimal nilpotent orbits of types A and D via Hamiltonian reduction
Affine closure of T*O_n in sl_n is isomorphic via C*-Hamiltonian reduction to the minimal nilpotent orbit closure in so_{2n+2}, and has no symplectic resolution.
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K-stability of adjoint foliated structures
Introduces K-stability and Ding stability for adjoint foliated structures, proves reduction to special test configurations and valuative criteria via mixed invariants, and shows boundedness of K-semistable adjoint Fano foliated structures with bounded volume.
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Regularity of a Geodesic equation in the space of mixed Volume Forms on Hermitian Manifolds
Proves C^{1,1} regularity for a degenerate fully nonlinear equation on Hermitian manifolds with balanced metrics, yielding unique C^{1,1} solutions to the Donaldson equation.