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math.AG2026
Covers of curves, Ceresa cycles, and Unlikely intersections
Tejasi Bhatnagar, Sheela Devadas, Toren D'Nelly-Warady +1
Fix a smooth, projective, geometrically integral curve of genus over a characteristic zero field. We prove that the Ceresa cycle of a v…
math.AG2024
Higher-weight Jacobians
Sheela Devadas, Max Lieblich
We define and study Jacobians of Hodge structures with weight greater than 1. A complex variety has a Jacobian of weight 2 precisely when it has maximal Picard number; these weight…
math.AG2023
GAGA for Henselian schemes
Sheela Devadas
The global analogue of a Henselian local ring is a Henselian pair-a ring R and an ideal I which satisfy a condition resembling Hensel's lemma regarding lifting coprime factorizatio…