Title    name
2009 Algebraic Geometry Workshop at KAIST
  Speaker Hwang, Junmuk
  Date 2009-04-09
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
Abstract : Given a projective symplectic manifold M and a non-singular hypersurface X in M, the symplectic form of M induces a foliation of rank 1 on X, called the characteristic foliation. We study the question when the characteristic foliation is algebraic, namely, all the leaves are algebraic curves. Our main result is that the characteristic foliation of X is not algebraic if X is of general type. For the proof, we first establish an etale version of Reeb stability theorem in foliation theory and then combine it with the positivity of the direct image sheaves associated to families of curves. This is a joint work with E. Viehweg.