The diagonal of quartic fivefolds

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Nebojsa Pavic
  • Stefan Schreieder

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 22 Juni 2023

Abstract

We show that a very general quartic hypersurface in \(\mathbb P^6 \) over a field of characteristic different from 2 does not admit a decomposition of the diagonal, hence is not retract rational. This generalizes a result of Nicaise--Ottem, who showed stable irrationality over fields of characteristic 0. To prove our result, we introduce a new cycle-theoretic obstruction that may be seen as an analogue of the motivic obstruction for rationality in characteristic zero, introduced by Nicaise--Shinder and Kontsevich--Tschinkel.

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The diagonal of quartic fivefolds. / Pavic, Nebojsa; Schreieder, Stefan.
2023.

Publikation: Arbeitspapier/Preprint › Preprint

Pavic, N., & Schreieder, S. (2023). The diagonal of quartic fivefolds. Vorabveröffentlichung online. https://arxiv.org/abs/2106.04539
Pavic N, Schreieder S. The diagonal of quartic fivefolds. 2023 Jun 22. Epub 2023 Jun 22.
Pavic, Nebojsa ; Schreieder, Stefan. / The diagonal of quartic fivefolds. 2023.
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