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On a numerical characterization of non-simple principally polarized abelian varieties
(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 ...
Polarizations on abelian subvarieties of principally polarized abelian varieties with dihedral group actions
(Springer, 2014)
For any n > 2 we study the group algebra decomposition of an ([n/2] + 1)- dimensional family of principally polarized abelian varieties of dimension n with an action of the dihedral group of order 2n. For any odd prime p, ...
Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
(PACIFIC JOURNAL MATHEMATICSBERKELEY, 2016)
Fibrations associated to smooth quotients of abelian varieties
(Springer, 2021)
Let A be an abelian variety and G a finite group of automorphisms of A fixing the origin
such that A/G is smooth. The quotient A/G can be seen as a fibration over an abelian variety whose
fibers are isomorphic to a product ...
Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
(Pacific Journal MathematicsBerkeley, 2016)