Note on the quasi-proper direct image with value in a Banach analytic set

Daniel Barlet (1, 2)

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

We give a rather simple proof of the generalization of Kuhlmann's quasi-proper direct image theorem to the case of a map with values in a Banach analytic set. The proof uses a generalization of the Remmert-Stein's theorem to this context. AMS Classification. 32 H 02-32 K 05-32 C 25.

Mots clés: Quasi-proper map. Quasi-proper direct image. Banach analytic set.

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

Daniel Barlet. Note on the quasi-proper direct image with value in a Banach analytic set. 2016. ⟨hal-01367281⟩