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arxiv: 1203.4532 · v1 · pith:EBSLHBYTnew · submitted 2012-03-20 · 💻 cs.CC · cs.DM· math.AG· math.CO

Variety Evasive Sets

Zeev Dvir , J\'anos Koll\'ar , Shachar Lovett This is my paper
classification 💻 cs.CC cs.DMmath.AGmath.CO
keywords affineconstructiondegreevarietyboundedconsidereddimensiondvir
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We give an explicit construction of a large subset of F^n, where 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 (affine subspaces).

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