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Degeneration of cubic hypersurfaces and hyper-Kähler manifolds uniformised by a complex ball

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Samuel Boissière (Poitiers)

What
  • SFB-Kolloquium
When Jun 14, 2018
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract.

The moduli space of cubic threefolds is the arithmetic quotient of the complementary of a hyperplane arrangement in the 10-dimensional complex ball. This coincides with the period domain of a family of hyper-Kähler manifolds with an order three automorphism. I will explain what happens to the automorphism when the cubic threefold degenerates.

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