## Duke Mathematical Journal

### On the Hasse principle for quartic hypersurfaces

#### Abstract

We establish the Hasse principle for smooth projective quartic hypersurfaces of dimension greater than or equal to $28$ defined over $\mathbb{Q}$.

#### Article information

Source
Duke Math. J., Volume 168, Number 14 (2019), 2727-2799.

Dates
Revised: 19 December 2018
First available in Project Euclid: 18 September 2019

https://projecteuclid.org/euclid.dmj/1568794037

Digital Object Identifier
doi:10.1215/00127094-2019-0025

#### Citation

Marmon, O.; Vishe, P. On the Hasse principle for quartic hypersurfaces. Duke Math. J. 168 (2019), no. 14, 2727--2799. doi:10.1215/00127094-2019-0025. https://projecteuclid.org/euclid.dmj/1568794037

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