6 citations · 21 across the 18 of their papers we have counts for
4 papers · 1 filter
Torsion points on theta divisors
Robert Auffarth, Giuseppe Pareschi, Gian Pietro Pirola +1
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 -torsion p…
A criterion for an abelian variety to be non-simple
Robert Auffarth, Herbert Lange, Anita Rojas
We give a criterion in terms of period matrices for an arbitrary polarized abelian variety to be non-simple. Several examples are worked out.
On a numerical characterization of non-simple principally polarized abelian varieties
Robert Auffarth
To every abelian subvariety of a principally polarized abelian variety we canonically associate a numerical class in the Néron-Severi group of . We prove that…
Elliptic curves on abelian varieties
Robert Auffarth
Given a principally polarized abelian variety , we give a characterization of all elliptic curves that lie on in terms of intersection numbers of divisor classes in its…