Jun-Muk Hwang, KIAS,
Characteristic
foliation on the discriminantal hypersurface
of a holomorphic Lagrangian
fibration We give a Kodaira-type
classification of general singular fibers of a holomorphic
Lagrangian fibration in Fujiki's class. Our approach is based on the study of the
characteristic vector field of the discriminantal hypersurface, which naturally arises from the defining
equation of the hypersurface via the symplectic form. As an application, we show that the
characteristic foliation of the discriminantal hypersurface has algebraic leaves which are either
rational curves or smooth elliptic curves. Thisis a
joint work with Keiji Oguiso. |