The number of reducible space curves over a finite field

Abstract

"Most" hypersurfaces in projective space are irreducible, and rather precise estimates are known for the probability that a random hypersurface over a finite field is reducible. This paper considers the parametrization of space curves by the appropriate Chow variety, and provides bounds on the probability that a random curve over a finite field is reducible.

References in corpus (2)

• Étale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields
• Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields

Cited by in corpus (1)

• Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields