On the generalized Suzuki curve
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Peter Beelen
,
Maria Montanucci
Abstract
For p an odd prime, let
is called the generalized Suzuki curve. For f = 1 it was studied extensively in [1]. In [19] the case f > 1 was addressed. It turns out that these curves constitute new examples of maximal curves for suitable values of p and n. Whereas in [19] cohomological methods and computations were used to determine the zeta functions of these curves, the aim of this article is to adapt the approach from [1] to the case f > 1.
Funding statement: This work was supported by a research grant (VIL”52303”) from Villum Fonden.
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Communicated by: G. Korchmáros
References
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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Combinatorics of stratified hyperbolic slices
- Godbersen’s conjecture for locally anti-blocking bodies
- A Hilbert metric for bounded symmetric domains
- On the generalized Suzuki curve
- The partition of PG(2, q3) arising from an order 3 planar collineation
- Well-rounded lattices from odd prime degree number fields in the ramified case
- Split Cayley hexagons via subalgebras of octonion algebras
- Relative Lipschitz saturation of complex algebraic varieties
- The prime grid contains arbitrarily large empty polygons
- The geometry of locally bounded rational functions
Articles in the same Issue
- Frontmatter
- Combinatorics of stratified hyperbolic slices
- Godbersen’s conjecture for locally anti-blocking bodies
- A Hilbert metric for bounded symmetric domains
- On the generalized Suzuki curve
- The partition of PG(2, q3) arising from an order 3 planar collineation
- Well-rounded lattices from odd prime degree number fields in the ramified case
- Split Cayley hexagons via subalgebras of octonion algebras
- Relative Lipschitz saturation of complex algebraic varieties
- The prime grid contains arbitrarily large empty polygons
- The geometry of locally bounded rational functions
