Artículos de revistas
On spectra of abelian group rings
Fecha
2008Registro en:
PUBLICATIONES MATHEMATICAE-DEBRECEN, v.72, n.3/Abr, p.269-284, 2008
0033-3883
Autor
BUENO, Andre Gimenez
DOKUCHAEV, Michael
Institución
Resumen
In this paper we study the spectrum of integral group rings of finitely generated abelian groups G from the scheme-theoretic viewpoint. We prove that the (closed) singular points of Spec Z[G], the (closed) intersection points of the irreducible components of Spec Z[G] and the (closed) points over the prime divisors of vertical bar t(G)vertical bar coincide. We also determine the formal completion of Spec Z[G] at a singular point.