Filling curves for ℙ¹ × ℙ¹

2022/03/22 by Homma, Masaaki, Kim, Seon Jeong
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.11595

Abstract

We determine the minimal bi-degree(s) of an irreducible filling curve over \mathbbF_q for ℙ¹× ℙ¹. It is (q+1, q+1) if q≠ 2, and they are (4,3) and (3,4) if q=2.

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