3 papers
math.AG2025
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…
math.AG2025
Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
Rodolfo Aguilar, Mark Green, Phillip Griffiths
Using the general framework due to Donagi-Markman \cite{DM} and Markushevich \cite{M} we shall derive an expression for the differential of Abel-Jacobi mappings on Fano threefolds.…
math.AG2025
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…