Browsing by Subject "Abelian variety"

Now showing items 1-3 of 3

    • On a numerical characterization of non-simple principally polarized abelian varieties 
      Auffarth, Robert (Springer, 2016)
      To every abelian subvariety of a principally polarized abelian variety (A,L) we canonically associate a numerical class in the Néron–Severi group of A.We prove that these classes are characterized by their intersection ...
    • On the number of Abelian subvarieties of reduced degree on an Abelian variety 
      Muñoz Santander, Camila (Universidad de Chile, 2024)
      Due to Poincaré's Reducibility Theorem, we know that for an Abelian variety A there exists an isogeny decomposition of A into simple factors. However, this decomposition hides many interesting properties of the set of ...
    • Torsion points on theta divisors 
      Auffarth, Robert Frederick; Pirola, Gian Pietro; Manni, Riccardo Salvati (American Mathematical Society, 2017)
      © 2016 American Mathematical Society. Using the irreducibility of a natural irreducible representation of the theta group of an ample line bundle on an abelian variety, we derive a bound for the number of n-torsion points ...