Arithmetic of Del Pezzo surfaces

DOI10.1007/978-1-4614-6482-2_12zbMath1306.14016OpenAlexW954602448MaRDI QIDQ2848093

Anthony Várilly-Alvarado

Publication date: 25 September 2013

Published in: Birational Geometry, Rational Curves, and Arithmetic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6482-2_12

zbMATH Keywords

rational pointsweak approximationdel Pezzo surfacesHasse principleBrauer-Manin

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Varieties over global fields (11G35) Modular and Shimura varieties (14G35)

Related Items (18)

Index of fibrations and Brauer classes that never obstruct the Hasse principle ⋮ Geometry and arithmetic of certain log K3 surfaces ⋮ Unbranched cohomology of degree 3: cellular variances and del Pezzo surfaces of degree at least 5 ⋮ Vanishing of the Brauer group of a del Pezzo surface of degree 4 ⋮ Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log \(K3\) surfaces ⋮ Jordan property for the Cremona group over a finite field ⋮ Automorphisms of cubic surfaces without points ⋮ Plane quartics with a Galois-invariant Steiner hexad ⋮ Degree and the Brauer-Manin obstruction ⋮ Morphisms to Brauer–Severi Varieties, with Applications to Del Pezzo Surfaces ⋮ Arithmetic of K3 Surfaces ⋮ On plane quartics with a Galois invariant Cayley octad ⋮ Stably rational surfaces over a quasi-finite field ⋮ Odd order obstructions to the Hasse principle on general K3 surfaces ⋮ On the algebraic Brauer classes on open degree four del Pezzo surfaces ⋮ Zero-cycles on del Pezzo surfaces. Variations on a theme by Daniel Coray ⋮ Reduction of Brauer classes on K3 surfaces, rationality and derived equivalence ⋮ On rationally connected varieties over \(C_1\) fields of characteristic 0

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