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A generalization of the Giulietti–Korchmáros maximal curve
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Arnaldo Garcia
Published/Copyright:
April 12, 2010
Abstract
We introduce a family of algebraic curves over 𝔽q2n (for an odd n) and show that they are maximal. When n = 3, our curve coincides with the 𝔽q6-maximal curve that has been found by Giulietti and Korchmáros recently. Their curve (i.e., the case n = 3) is the first example of a maximal curve proven not to be covered by the Hermitian curve.
Received: 2008-02-14
Published Online: 2010-04-12
Published in Print: 2010-July
© de Gruyter 2010
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- On the characteristic direction of real hypersurfaces in and a symmetry result
- Small maximal partial spreads in classical finite polar spaces
- On antipodes on a convex polyhedron II
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- A generalization of the Giulietti–Korchmáros maximal curve
- Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs
- Generalized polygons with non-discrete valuation defined by two-dimensional affine ℝ-buildings
- Measures on the space of convex bodies
- On the scalar curvature of hypersurfaces in spaces with a Killing field
- The real quadrangle of type E6
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- On surfaces with pg = 2q – 3
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