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Balanced embedding of degenerating Abelian varieties

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  • UserYuguang Zhang, Imperial College
  • ClockWednesday 11 October 2017, 14:15-15:15
  • HouseCMS MR13.

If you have a question about this talk, please contact Mark Gross.

In this talk, we show that after a base change, one can complete a certain family of Abelian varieties over a disc such that the whole degeneration can be simultaneously balanced embedded into a projective space by the theta functions. Then we study the relationship between the balanced filling-in and the Gromov-Hausdorff limit of flat Kahler metrics on the nearby fibers.

This talk is part of the Algebraic Geometry Seminar series.

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