Classification of codimension one distributions of degree two on the projective space

Abstract: In this talk I will provide a complete classification of codimension one distributions of degree 2 on the three dimensional projective space, generalizing the classification of codimension one foliations of degree 2 given by Cerveau and Lins Neto. We describe all possible singular schemes and tangent sheaves of such distributions and speculate on the topological and algebraic properties of integrability.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

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