76 citations · 78 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
Quotients of non-classical flag domains are not algebraic
Phillip Griffiths, Colleen Robles, Domingo Toledo
A flag domain D = G/V for G a simple real non-compact group G with compact Cartan subgroup is non-classical if it does not fiber holomorphically or anti-holomorphically over a Herm…