S. Kim

most citedNonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini

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math.AG2022

Filling curves for $P^{1} \times P^{1}$

Masaaki Homma, Seon Jeong Kim

We determine the minimal bi-degree(s) of an irreducible filling curve over $F_{q}$ for $P^{1} \times P^{1}$ . It is $(q + 1, q + 1)$ if $q \neq = 2$ , and they are $(4,3…

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…

Filling curves for P1×P1

Nonsingular plane filling curves of minimum degree over a finite field and their automorphism groups: Supplements to a work of Tallini

Filling curves for $P^{1} \times P^{1}$