Note on rational 1−dimensional compact cycles.

Daniel Barlet (1, 2)

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

We give a proof of the fact tha the subset of the rational curves form a closed analytic subset in the space of the 1−dimensional cycles of a complex space.

Mots clés: Rational curves - Cycles’ space.

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

Daniel Barlet. Note on rational 1−dimensional compact cycles.. 2016. ⟨hal-01338212v2⟩