2 papers
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 …
math.AG2024
Around Homology Planes: Old and new
Rodolfo Aguilar Aguilar
We survey some old and new results about acyclic (affine) complex surfaces, also called homology planes. We ask several questions and leave open directions for future research.