21 citations · 77 across the 23 of their papers we have counts for
29 papers
Pseudoconvexity at infinity in Hodge theory: a codimension one example
Colleen Robles
The generalization of the Satake--Baily--Borel compactification to arbitrary period maps has been reduced to a certain extension problem on certain "neighborhoods at infinity". Ext…
Extension of Hodge norms at infinity
Colleen Robles
It is a long-standing problem in Hodge theory to generalize the Satake--Baily--Borel (SBB) compactification of a locally Hermitian symmetric space to arbitrary period maps. A prope…
Completions of period mappings: progress report
Mark L Green, Phillip Griffiths, Colleen Robles
We give an informal, expository account of a project to construct completions of period maps.
Natural line bundles on completions of period mappings
Mark Green, Phillip Griffiths, Colleen Robles
We give conditions under which natural lines bundles associated with completions of period mappings are semi-ample and ample.
Hodge Representations
Xiayimei Han, Colleen Robles
Hodge representations were introduced by Green-Griffiths-Kerr to classify the Hodge groups of polarized Hodge structures, and the corresponding Mumford-Tate subdomains of a period…
The LLV decomposition of hyper-Kaehler cohomology
Mark Green, Yoon-Joo Kim, Radu Laza +1
Looijenga--Lunts and Verbitsky showed that the cohomology of a compact hyper-Kähler manifold admits a natural action by the Lie algebra , generaliz…