Titlebook: Geometry Over Nonclosed Fields; Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel Conference proceedings 2017 Springer International Publishi

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https://doi.org/10.1007/978-3-322-96556-1 space and globally generated invertible sheaves. As an application, we study del?Pezzo surfaces of large degree with a view towards Brauer–Severi varieties, and recover classical results on rational points, the Hasse principle, and weak approximation.

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https://doi.org/10.1007/978-3-322-96556-1 space and globally generated invertible sheaves. As an application, we study del?Pezzo surfaces of large degree with a view towards Brauer–Severi varieties, and recover classical results on rational points, the Hasse principle, and weak approximation.

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Lines on Cubic Hypersurfaces Over Finite Fields, a smooth cubic threefold ., the variety of lines contained in . is a smooth projective surface .(.) for which the Tate conjecture holds, and we obtain information about the Picard number of .(.) and the 5-dimensional principally polarized Albanese variety .(.(.)).

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,Morphisms to Brauer–Severi Varieties, with Applications to Del?Pezzo Surfaces, space and globally generated invertible sheaves. As an application, we study del?Pezzo surfaces of large degree with a view towards Brauer–Severi varieties, and recover classical results on rational points, the Hasse principle, and weak approximation.

認(rèn)識

Odd-Dimensional Cohomology with Finite Coefficients and Roots of Unity,le smooth projective variety implies the existence of certain primitive roots of unity in the field of definition of the variety. This text was inspired by an exercise in Serre’s Lectures on the Mordell–Weil theorem.