activity
20062026
most citedThe dimension growth conjecture, polynomial in the degree and without logarithmic factors

19 citations · 48 across the 19 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.NT2009

Nondegenerate curves of low genus over small finite fields

Wouter Castryck, John Voight

In a previous paper, we proved that over a finite field of sufficiently large cardinality, all curves of genus at most 3 over k can be modeled by a bivariate Laurent polynomial…

math.NT2009★ 1 cited

The distribution of the number of points modulo an integer on elliptic curves over finite fields

Wouter Castryck, Hendrik Hubrechts

Let F be a finite field and let b and N be integers. We prove explicit estimates for the probability that the number of rational points on a randomly chosen elliptic curve E over F…