On certain maximal hyperelliptic curves related to Chebyshev polynomials
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Publication:2312896
DOI10.1016/j.jnt.2019.03.003zbMath1444.11134arXiv1902.06262OpenAlexW2963046571MaRDI QIDQ2312896
Publication date: 18 July 2019
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.06262
Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta and (L)-functions in characteristic (p) (11M38)
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Cites Work
- Unnamed Item
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- Maximal curves from subcovers of the GK-curve
- On the genera of subfields of the Hermitian function field
- Algebraic function fields and codes
- A family of maximal hyperelliptic curves
- A note on certain maximal hyperelliptic curves
- On the curve \(y^n = x^m + x\) over finite fields
- Maximal hyperelliptic curves of genus three
- Idempotent relations and factors of Jacobians
- On maximal curves related to Chebyshev polynomials
- On some Galois covers of the Suzuki and Ree curves
- A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field
- Curves related to Coulter's maximal curves
- Endomorphisms of Abelian varieties over finite fields
- A Deuring criterion for abelian varieties
- Explicit Hyperelliptic Curves With Real Multiplication and Permutation Polynomials
- A new family of maximal curves
- On Chebyshev polynomials and maximal curves
- Decomposing Jacobians of curves with extra automorphisms
- Algorithmic Number Theory
