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

We prove that every nontrivial line bundle on a compact quotient of a non-classical flag domain has no nonzero global sections. The proof first establishes the Green--Griffiths--Ke…