2 papers
math.AG2024
Periods of Real Biextensions
Richard Hain
A real biextension is a real mixed Hodge structure that is an extension of R(0) by a mixed Hodge structure with weights and . A unipotent real biextension over an algebrai…
math.AG2024
The Rank of the Normal Functions of the Ceresa and Gross--Schoen Cycles
Richard Hain
The main result is that when the genus is at least 3, the rank of the normal function function of the Ceresa cycle over the moduli space of curves has maximal rank. This result was…