Smoothing toroidal crossing varieties

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• Helge Ruddat, Hamburg
• Wednesday 13 February 2019, 14:15-15:15
• CMS MR13.

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

Friedman and Kawamata-Namikawa studied smoothability of normal crossing Calabi-Yau varieties. I present the proof of a very general smoothing result that also works for toroidal crossing spaces and therefore also generalizes work by Gross and Siebert. The key technologies are the construction of log structures, a proof of a degeneration of the log Hodge to de Rham spectral sequence as well as L-infinity-methods. This is a joint project with Simon Felten and Matej Filip.

This talk is part of the Algebraic Geometry Seminar series.

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