Forms of del Pezzo surfaces of degree 5 and 6

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Resumo

We obtain necessary and sufficient condition for the existence of del Pezzo surfaces of degrees 5">5 and 6">6 over a field K">K with a prescribed action of absolute Galois group Gal⁡(Ksep/K)">Gal⁡(Ksep/K) on the graph of (−1)">(−1)-curves. We also compute the automorphism groups of del Pezzo surfaces of degree 5">5 over arbitrary fields.

Sobre autores

Alexandr Zaitsev

Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE)

Autor responsável pela correspondência
Email: math-net2025_06@mi-ras.ru

without scientific degree, no status

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