Forms of del Pezzo surfaces of degree $5$ and $6$

A. V. Zaitsev

Sbornik. Mathematics, Tome 214 (2023) no. 6, pp. 816-831

Résumé

We obtain necessary and sufficient condition for the existence of del Pezzo surfaces of degrees $5$ and $6$ over a field $K$ with a prescribed action of absolute Galois group $\operatorname{Gal}(K^{\mathrm{sep}}/K)$ on the graph of $(-1)$-curves. We also compute the automorphism groups of del Pezzo surfaces of degree $5$ over arbitrary fields. Bibliography: 19 titles.

Détail

Keywords: automorphism groups.
Mots-clés : del Pezzo surface

Bibliographie

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