2021/09/14 by Zarhin, Yuri G.
#14J45 #14K30 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2109.06794
In this paper we study principally polarized abelian varieties that admit an automorphism of prime order p>2. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves.