A probabilistic approach to systems of parameters and Noether normalization

@article{Bruce2016APA,
  title={A probabilistic approach to systems of parameters and Noether normalization},
  author={Juliette Bruce and D. Erman},
  journal={arXiv: Commutative Algebra},
  year={2016}
}
We study systems of parameters over finite fields from a probabilistic perspective, and use this to give the first effective Noether normalization result over a finite field. Our central technique is an adaptation of Poonen's closed point sieve, where we sieve over higher dimensional subvarieties, and we express the desired probabilities via a zeta function-like power series that enumerates higher dimensional varieties instead of closed points. This also yields a new proof of a recent result of… Expand
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