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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.AG2024
Infinitesimal invariants of mixed Hodge structures
Rodolfo Aguilar, Mark Green, Phillip Griffiths
We introduce the notion of infinitesimal variations of mixed Hodge structures and invariants associated to them. We describe these invariants in the case of a pair with …