Abstract
We give an explicit construction of a large subset \({S \subset \mathbb{F}^n}\), where \({\mathbb{F}}\) is a finite field, that has small intersection with any affine variety of fixed dimension and bounded degree. Our construction generalizes a recent result of Dvir and Lovett (STOC 2012) who considered varieties of degree one (that is, affine subspaces).
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Dvir, Z., Kollár, J. & Lovett, S. Variety Evasive Sets. comput. complex. 23, 509–529 (2014). https://doi.org/10.1007/s00037-013-0073-9
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DOI: https://doi.org/10.1007/s00037-013-0073-9