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Differential forms on singular varieties

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Daniel Greb (Freiburg)

What
  • SFB-Kolloquium
When May 20, 2010
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract. Given an algebraic variety X and a resolution of singularities Z of X with exceptional set E, it is a natural (old) question whether, or under which additional assumptions, regular differential forms defined on the smooth part of X extend over E to regular differential forms on Z.

After discussing examples showing that extension is not possible in general, I will introduce and discuss (log-)canonical singularities and sketch the proof of the following result: extension (with logarithmic poles) holds for varieties with (log-)canonical singularities.

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