Satoshi Ogawa (Osaka Metropolitan University), Holomorphic tubular neighborhoods of compact Riemann surfaces

mardi 20 févr. 2024, 11:00 → 13:00 Europe/Paris

salle I (laboratoire Dieudonné)

In this talk, I will introduce a sufficient condition of the existence of a holomorphic tubular neighborhood of a compact Riemann surface in a non-singular complex surface. This sufficient condition is described by an arithmetical condition of the normal bundle which can be regarded as an analogue of the Brjuno condition for irrational numbers which appears in the theory of 1-variable complex dynamics.