Regular foliations on rationally connected threefolds with nef anticanonical bundle

Abstract: In his classification of regular foliations on surfaces, Brunella showed that every regular foliations on a rational surface is algebraically integrable, with rational leaves. This leads to the conjecture, due to Touzet, that every regular foliation on a rationally connected manifold is algebraically integrable with rationally connected leaves. This conjecture was shown to be true by Druel for the case of Fano manifolds. In this talk, we will present progress towards this conjecture for threefolds, by showing that it is true for regular foliations of codimension one on threefolds with nef anticanonical bundle.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

Series comments: Subscribe the seminar mailing list, please send and email to brag-seminar-request@lists.ime.unicamp.br with "subscribe" in the subject line.

Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w