3 papers
math.AG2025
On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle
Lucas Lagarde, Mohamed Moakher, Morena Porzio +2
Let be a curve of genus , and let be its Jacobian. The choice of a degree 1 divisor on gives an embedding of into ; we denote by $[C]_{}^{e}\in \ma…
math.NT2025
Three-Torsion Subgroups and Wild Conductor Exponents of Plane Quartics
Elvira Lupoian, James Rawson
In this paper we give an algorithm to find the 3-torsion subgroup of the Jacobian of a smooth plane quartic curve with a marked rational point. We describe torsion points in te…
math.AG2025
Ceresa Cycles of
Elvira Lupoian, James Rawson
The Ceresa cycle is an algebraic 1-cycle on the Jacobian of an algebraic curve. Although it is homologically trivial, Ceresa famously proved that for a very general complex curve o…