18 citations · 33 across the 8 of their papers we have counts for
8 papers
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…
Characteristic cohomology of the infinitesimal period relation
C. Robles
The infinitesimal period relation (also known as Griffiths' transversality) is the system of partial differential equations constraining variations of Hodge structure. This paper p…
Parallel calibrations and minimal submanifolds
C. Robles
Given a parallel calibration on a Riemannian manifold , I prove that the --critical submanifolds with nonzero critical value are minimal submanifolds. I also sh…