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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, ...
On automorphisms of finite abelian p-groups
(VERSITA, 2008)
Let A be a finitely generated abelian group. We describe the automorphism group Aut(A) using the rank of A and its torsion part p-part A(p). For a finite abelian p-group A of type (k(1),..., k(n)), simple necessary and ...
A group topology on the free abelian group of cardinality c that makes its square countably compact
(POLISH ACAD SCIENCES INST MATHEMATICS, 2011)
Under p = c, we prove that it is possible to endow the free abelian group of cardinality c with a group topology that makes its square countably compact. This answers a question posed by Madariaga-Garcia and Tomita and by ...
Virtual Rational Betti Numbers Of Nilpotent-by-abelian Groups
(PACIFIC JOURNAL MATHEMATICSBERKELEY, 2016)
A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence. (C) 2011 Elsevier B.V. All ...
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 ...