Families
of canonically polarized varieties over surfaces
Professor Stefan Kebekus
University of Cologne,
Germany
Abstract
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
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Date: |
November 22, 2007 (Thursday) |
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Time: |
2:00 – 3:00pm |
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Place: |
Room 517, Meng Wah Complex, HKU |
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All are
welcome |
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