Specialization of (stable) rationality in families with mild singularities

Mardi 12 décembre 14:15-15:15 - Johannes Nicaise - Imperial College London / University of Leuven

Résumé : I will present joint work with Evgeny Shinder, where we use Denef and Loeser’s motivic nearby fiber and a theorem by Larsen and Lunts to prove that stable rationality specializes in families with mild singularities. The proof yields new obstructions to stable rationality that can be applied in concrete examples. I will also discuss an improvement of our results by Kontsevich and Tschinkel, who defined a birational version of the motivic nearby fiber to prove specialization of rationality.

Lieu : Bât. 425, salle 117-119

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