Feng Shao, The Bigness of Tangent Bundles of Projective Manifolds


Feng Shao
IBS, Center for Complex Geometry

Let X be a Fano manifold. While the properties of the anticanonical divisor –KX and its multiples have been studied by many authors, the positivity of the tangent bundle TX is much more elusive. In this talk, we give a complete characterization of the pseudoeffectivity and the bigness of TX for del Pezzo surfaces, hypersurfaces in the projective space and del Pezzo threefolds.