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Intersections of translated algebraic subtori

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: A.I. Suciu, Y. Yang, G. Zhao

Editorial: Journal of Pure and Applied Algebra, 217 (3), p.481-494, 2013.

Rezumat:

We exploit the classical correspondence between finitely generated abelian groups and abelian complex algebraic reductive groups to study the intersection theory of translated subgroups in an abelian complex algebraic reductive group, with special emphasis on intersections of (torsion) translated subtori in an algebraic torus.

Cuvinte cheie: Complex algebraic torus, {P}ontrjagin duality, lattice of subgroups, primitive subgroup, translated algebraic subgroup, determinant group, characteristic variety, fibered category

URL: http://dx.doi.org/10.1016/j.jpaa.2012.06.025