CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Some restrictions on existence of abelian complex structures
Autor/es:
DOTTI, ISABEL
Lugar:
Moscu
Reunión:
Congreso; Conference on Geometric structures in complex geometry; 2011
Institución organizadora:
Steklov Institute
Resumen:
We prove that every solvable Lie algebra $ g$ with an abelian complexstructure $J$ has a $J$-stable ideal $ g ´_J$ with a compatible product structure such that the quotient $ g/ g ´_J$ isabelian. As a consequence of this result, we obtain that anynilmanifold with an invariant abelian complex structureis the total space of a holomorphic fibration over a complex toruswith fiber a nilmanifold with an invariant complex productstructure.
