2025/01/13 by Podelski, Constantin
#14H42 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2501.07512
Using the Tannakian formalism, one can attach to a principally polarized abelian variety a reductive group, along with a representation. We show that this group and the representation characterize Jacobians in genus up to 5. More generally, our results hold on the bielliptic Prym locus in all genera. This gives the first evidence towards a recent conjecture by Weissauer and Krämer. The main tool in our proof is a criterion for detecting Jacobians relying on Chern-Mather classes.