76 citations · 94 across the 8 of their papers we have counts for
10 papers
Atypical Hodge Loci
Phillip Griffiths
In the recent works of a number of people there has emerged a beautiful new perspective on the arithmetic properties of Hodge structures. A central result in that development appea…
Shafarevich mappings and period mappings
Mark Green, Phillip Griffiths, Ludmil Katzarkov
We shall show that a smooth, quasi-projective variety has a holomorphically convex universal covering $\wt X$ when (i) is residually nilpotent and (ii) there is an adm…
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.
Positivity of vector bundles and Hodge theory
Mark Green, Phillip Griffiths
It is well known that positivity properties of the curvature of a vector bundle have implications on the algebro-geometric properties of the bundle, such as numerical positivity, v…
Period mappings and properties of the augmented Hodge line bundle
Mark Green, Phillip Griffiths, Radu Laza +1
Let be the image of a period map. We discuss progress towards a conjectural Hodge theoretic completion , an analogue of the Satake-Baily-Borel compactification in…