18 citations · 33 across the 8 of their papers we have counts for
6 papers · 1 filter
Period maps at infinity
Mark Green, Phillip Griffiths, Colleen Robles
Let be a smooth projective varieity, and a simple normal crossing divisor. Assume that admits a variation of pure, po…
Completion of two-parameter period maps by nilpotent orbits
Haohua Deng, Colleen Robles
We show that every two-parameter period map admits a Kato--Nakayama--Usui completion to a morphism of log manifolds, and the map onto the image is a morphism of compact algebraic s…
Analog of Satake-Baily-Borel for period maps
Mark Green, Phillip Griffiths, Colleen Robles
We propose an analog of the Satake--Baily--Borel compactification and Borel's extension theorem for arbitrary period maps. The proposed analog is constructed as a proper topologica…
Nilpotent cones and their representation theory
P. Brosnan, G. Pearlstein, C. Robles
We describe two approaches to classifying the possible monodromy cones C arising from nilpotent orbits in Hodge theory. The first is based upon the observation that C is contained…
Nilpotent cones and adjoint orbits
C. Robles
A short note to show that the elements of the (open) cone underlying a nilpotent orbit on a period domain are pairwise congruent under the symmetry group of the period domain.
Classification of horizontal SL(2)'s
C. Robles
A variation of Hodge structure is a horizontal holomorphic mapping into a flag domain D; here "horizontal" indicates that the image of the map satisfies a system of partial differe…