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Weak Approximation on Del Pezzo Surfaces of Degree 4

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Arithmetic of Higher-Dimensional Algebraic Varieties

Part of the book series: Progress in Mathematics ((PM,volume 226))

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Abstract

Let V be a Del Pezzo surface of degree 4 over a number field k such that V(k) ≠ ø. We prove that V(k) = V(A)Br.

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References

  1. J.-L. Colliot-Thélène & P. Swinnerton-Dyer — Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties, J. Reine Angew. Math. 453 (1994), 49–112.

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Swinnerton-Dyer, P. (2004). Weak Approximation on Del Pezzo Surfaces of Degree 4. In: Poonen, B., Tschinkel, Y. (eds) Arithmetic of Higher-Dimensional Algebraic Varieties. Progress in Mathematics, vol 226. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8170-8_14

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  • DOI: https://doi.org/10.1007/978-0-8176-8170-8_14

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6471-2

  • Online ISBN: 978-0-8176-8170-8

  • eBook Packages: Springer Book Archive

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