Showing math.AGShow all
2 papers · 1 filter
math.AG2025
The Hodge-Double-Ramification conjecture and Mumford's formula on the universal Picard stack
Alessandro Chiodo, David Holmes
The double ramification (DR) cycle associated to a line bundle on a family of curves detects where the line bundle becomes fibrewise-trivial. The Hodge-DR Conjecture proposes a for…
math.AG2024
Mumford's formula on the universal Picard stack
Alessandro Chiodo, David Holmes
We construct a derived pushforward of the r-th root of the universal line bundle over the Picard stack of genus g prestable curves carrying a line bundle. We prove a number of basi…