Kefeng Liu

collaborators

2 papers

math.AG2024

Penrose transformation on flag domains

Kefeng Liu, Yang Shen

Building on our recent work, we construct the Penrose transformations of the cohomology groups of homogeneous line bundles on flag domains $D = G_{R} / T$ , where $G_{R}$ is of Hermit…

math.AG2024

Vanishing Theorems and Complex Structures on Non-Classical Flag Domains

Kefeng Liu, Yang Shen

Let $D = G_{R} / V$ be a non-classical flag domain with $G_{R}$ simple. We prove that every compact quotient of $D$ by a torsion-free discrete subgroup has no nonzero c…