Minimal value set polynomials and Frobenius non-classical curves (original) (raw)
Let X be a projective, geometrically irreducible, non-singular, algebraic curve defined over a finite field Fq2 of order q . If the number of Fq2-rational points of X satisfies the Hasse-Weil upper bound, then X is said to be Fq2-maximal. It has been known for a long time that the quotient curve of X with respect to any subgroup of the Fq2-automorphism group Aut(X ) of a Fq2 -maximal curve is still an Fq2-maximal curve. This offers a wide possibility to derive new Fq2-maximal curves from a known one, and hence it gives a strong motivation for the study of Fq2 -automorphism groups of an Fq2 -maximal curve X . In this talk we survey some recent results on automorphism groups of maximal curves. Dipartimento di Matematica, Universitá della Basilicata, Campus Universitario di Macchia Romana, 85100 Potenza, Italy E-mail address: gabor.korchmaros@unibas.it 1 Simultaneous stable reduction for curves with ADE singularities Sebastian Casalaina-Martin University of Colorado at Boulder Resumo/A...
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