The geometric sieve for quadrics

@article{Browning2020TheGS,
  title={The geometric sieve for quadrics},
  author={T. Browning and Roger Heath-Brown},
  journal={Forum Mathematicum},
  year={2020},
  volume={33},
  pages={147 - 165}
}
  • T. Browning, Roger Heath-Brown
  • Published 2020
  • Mathematics
  • Forum Mathematicum
    • Abstract We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five. As one ranges over the zeros of such quadratic forms, we use the sieve to compute the density of coprime values of polynomials, and furthermore, to address a question about local solubility in families of varieties parameterised by the zeros. 
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    Arithmetic purity, geometric sieve and counting integral points on affine quadrics
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