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Filling curves for P(1)xP(1)
- Authors
- Homma, Masaaki; Kim, Seon Jeong
- Issue Date
- Jun-2023
- Publisher
- Marcel Dekker Inc.
- Keywords
- Finite field; projective curve; rational point
- Citation
- Communications in Algebra, v.51, no.6, pp 2680 - 2687
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Communications in Algebra
- Volume
- 51
- Number
- 6
- Start Page
- 2680
- End Page
- 2687
- ISSN
- 0092-7872
1532-4125
- Abstract
- We determine the minimal bi-degree(s) of an irreducible filling curve over F-q for P-1 x P-1 by constructing examples. It is (q + 1, q + 1) if q&NOTEQUexpressionL;2, and they are (4,3) and (3,4) if q = 2.
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