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math.AG2009★ 2 cited
Sziklai's conjecture on the number of points of a plane curve over a finite field II
Masaaki Homma, Seon Jeong Kim
We settle the conjecture posed by Sziklai on the number of points of a plane curve over a finite field under the assumption that the curve is nonsingular.
math.AG2009★ 6 cited
Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini
Masaaki Homma, Seon Jeong Kim
Our concern is a nonsingular plane curve defined over a finite field of q elements which includes all the rational points of the projective plane over the field. The possible degre…