Two semi-continuity results for the algebraic dimension of compact complex manifolds.

Daniel Barlet (1, 2)

1 IUF - Institut universitaire de France
2 IECL - Institut Élie Cartan de Lorraine

Using some relative codimension 1 cycle-space method, we give, following the ideas of D. Popovici [P.13], semicontinuity results for the algebraic dimension in a family a compact complex manifolds parametrized by a disc.

Mots clés: Moishezon spaces.; Algebraic dimension; relative codimension 1 cycles

Mots clés: Moishezon spaces

Domaines: Variables complexes [math.CV]; Géométrie algébrique [math.AG]

Daniel Barlet. Two semi-continuity results for the algebraic dimension of compact complex manifolds.. J. Math. Sci. Univ. Tokyo, 2015, 22 (1), pp.39-54. ⟨hal-00974950⟩