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math.NT2015★ 1 cited
Explicit estimates for polynomial systems defining irreducible smooth complete intersections
Joachim von zur Gathen, Guillermo Matera
This paper deals with properties of the algebraic variety defined as the set of zeros of a "typical" sequence of polynomials. We consider various types of "nice" varieties: set-the…
math.NT2013★ 5 cited
The number of reducible space curves over a finite field
Eda Cesaratto, Joachim von zur Gathen, Guillermo Matera
"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. Th…