151 citations · 400 across the 28 of their papers we have counts for
7 papers · 1 filter
Normal bundles of cycles in flag domains
Jaehyun Hong, Alan Huckleberry, Aeryeong Seo
A real semisimple Lie group G_0 embedded in its complexification G has only finitely many orbits in any G-fag manifold Z = G/Q. The complex geometry of its open orbits D (flag doma…
Finite symmetry groups in complex geometry
Kristina Frantzen, Alan Huckleberry
On June 5, 2007 the second author delivered a talk at the Journees de l'Institut Elie Cartan entitled "Finite symmetry groups in complex geometry". This paper begins with an expand…
K3-surfaces with special symmetry: An example of classification by Mori-reduction
Kristina Frantzen, Alan Huckleberry
The classification problem for K3-surfaces equipped with finite groups of symplectic symmetry centralized by an antisymplectic involution is considered. An approach via equivar…
On closures of cycle spaces of flag domains
Jaehyun Hong, Alan Huckleberry
Open orbits D of noncompact real forms G_0 acting on flag manifolds of their semisimple complexifications G are considered. The unique orbit C of a maximal compact subgroup K_0 of…
Characterization of cycle domains via Kobayashi hyperbolicity
Gregor Fels, Alan Huckleberry
A real form of a complex semisimple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interes…
Schubert varieties and cycle spaces
A. Huckleberry, J. A. Wolf
Complex geometric properties of the orbits of a non-compact real form in a flag manifold of a complex semi-simple groups are studied. Schubert varie…