Geometry Seminar


Families of canonically polarized varieties over surfaces


Professor Stefan Kebekus

University of Cologne, Germany





Shafarevich's well-known hyperbolicity conjecture asserts that a family of curves over a quasi-projective 1-dimensional base is isotrivial unless the logarithmic Kodaira dimension of the base is positive. More generally it has been conjectured by Viehweg that the base of a smooth family of canonically polarized varieties is of log general type if the family is of maximal variation. In this talk, we relate the variation of a family to the logarithmic Kodaira dimension of the base and give an affirmative answer to Viehweg's conjecture for families parametrized by surfaces.


Articles with Sandor Kovács: math.AG/0511378, to appear in Invent. Math.; arXiv:0707.2054



November 22, 2007 (Thursday)


2:00 – 3:00pm


Room 517, Meng Wah Complex, HKU




All are welcome