1 citations · 1 across the 6 of their papers we have counts for
8 papers
Hitchin's Conjecture for in Odd Prime Degree
Boming Jia
We prove Hitchin's conjecture for in every odd prime degree. More precisely, let be prime and let . Every nonzero primitive element $α\inΛ^p(\…
A Cotangent Model for the Next-to-Minimal Orbit of E7
Boming Jia
Let be the next-to-minimal nilpotent orbit of the complex simple Lie algebra of type . Let be the maximal parabolic subalgebra correspondin…
Cotangent Models of Nilpotent Orbit Closures
Boming Jia
Let be a nonzero nilpotent orbit in a complex simple Lie algebra . For of classical type, we classify the orbit closures $\overline{\mathcal…
Minimal Nilpotent Orbits of type G2, F4 and E8
Boming Jia
Let be a complex simple Lie algebra of type , , or . We prove that the closure of its minimal nilpotent orb…
Minimal Nilpotent Orbits and Toric Varieties
Boming Jia, Yu Li
Let be the collection of elements of with rank less than or equal t…
Minimal Nilpotent Orbits of type D and E
Boming Jia
We first show the closure of the minimal nilpotent adjoint orbit Omin^{D_n} in so_{2n} is isomorphic to the affinization of T^*(SL_{n-1}/[P,P]) where P is the parabolic subgroup P_…
Highest Weight Varieties and Narayana Numbers
Boming Jia
We compute the Hilbert series of the coordinate ring of some highest weight varieties. We also explain why Narayana numbers (and their generalizations) appear naturally in the nume…
The Affine Closure of T^*(SL_n/U)
Boming Jia
We show that the affine closure of T^*(SL_n/U) has symplectic singularities, in the sense of Beauville. In the special case n=3, we show that the affine closure of T^*(SL_3/U) is i…