Existence of rational points as a homotopy limit problem

@article{Quick2013ExistenceOR,
  title={Existence of rational points as a homotopy limit problem},
  author={Gereon Quick},
  journal={arXiv: Algebraic Geometry},
  year={2013}
}
  • Gereon Quick
  • Published 2 September 2013
  • Mathematics
  • arXiv: Algebraic Geometry
5 Citations
Homotopy Rational Points of Brauer-Severi Varieties
We study homotopy rational points of Brauer-Severi varieties over fields of characteristic zero. We are particularly interested if a Brauer-Severi variety admitting a homotopy rational point splits.
Brauer and Etale Homotopy Obstructions to Rational Points on Open Covers
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Obstructions to rational and integral points
In this thesis, I study two examples of obstructions to rational and integral points on varieties. The first concerns the S-unit equation, which asks for solutions to x+ y = 1 with x and y both
BRAUER AND ETALE HOMOTOPY OBSTRUCTIONS ON OPEN COVERS
The Brauer-Manin obstruction can be used to explain the failure of the local-global principle for many algebraic varieties. In 1999, Skorobogatov gave the first example of a variety whose failure to
Homotopy Spectra and Diophantine Equations
Arguably, the first bridge between vast, ancient, but disjoint domains of mathematical knowledge, – topology and number theory, – was built only during the last fifty years. This bridge is the theory

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