CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Some new results on abelian complex geometry
Autor/es:
DOTTI, ISABEL
Lugar:
La Falda, Sierras de Córdoba
Reunión:
Congreso; III Encuentro de Geometría Diferencial; 2007
Institución organizadora:
FaMAF, UNC
Resumen:
The purpose of this talk is to give an outline of the proof of the following result : Every solvable Lie algebra $\fs$ with an abelian complexstructure $J$ has a $J$-stable ideal $\fc$ with an abeliancomplex product structure such that the quotient $\fs/\fc$ isabelian. As a consequence of this result, we obtain that anynilmanifold with a compatible invariant abelian complex structureis the total space of a holomorphic fibration over a complex toruswith fiber a nilmanifold with an invariant complex productstructure. We will give before all the preparatory material.
