Maximal curve;
Order sequence;
Frobenius dimension;
Weierstrass semigroup;
FINITE-FIELDS;
GENUS;
D O I:
10.1007/s10623-010-9389-5
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
In this paper we solve three open problems on maximal curves with Frobenius dimension 3. In particular, we prove the existence of a maximal curve with order sequence (0, 1, 3, q).
机构:
Univ Toulon & Var, Inst Math Toulon, Toulon, France
Aix Marseille Univ, CNRS, Cent Marseille, UMR 12M 7373, F-13453 Marseille, FranceUniv Toulon & Var, Inst Math Toulon, Toulon, France
Aubry, Yves
Iezzi, Annamaria
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机构:
Aix Marseille Univ, CNRS, Cent Marseille, UMR 12M 7373, F-13453 Marseille, FranceUniv Toulon & Var, Inst Math Toulon, Toulon, France
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, 424 Hafez Ave, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, 424 Hafez Ave, Tehran 15914, Iran
Tafazolian, Saeed
Torres, Fernando
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机构:
IMECC UNICAMP, Campinas, SP, BrazilAmirkabir Univ Technol, Fac Math & Comp Sci, Tehran Polytech, 424 Hafez Ave, Tehran 15914, Iran
机构:
IMPA Inst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, BrazilIMPA Inst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil
Garcia, Arnaldo
Tafazolian, Saeed
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机构:
IMPA Inst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, BrazilIMPA Inst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil