2022International Journal of Number TheoryOpen access

Rational points on Del Pezzo surfaces of degree four

Vladimir Mitankin, Cecília Salgado

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Abstract

We study the distribution of the Brauer group and the frequency of the Brauer–Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

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We study the distribution of the Brauer group and the frequency of the Brauer–Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

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Available abstract

We study the distribution of the Brauer group and the frequency of the Brauer–Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

Key concepts: Mathematics, Hasse principle, Degree (music), Brauer group, Rational number, Pure mathematics, Distribution (mathematics), Algebraic number field

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