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Showing 1 to 2 of 2 for “"maximal curves"”.

  1. On congruence function fields with many rational places

    … fields with many rational places, namely maximal function fields and asymptotically good towers of function fields. The third part concerns Selmer groups of elliptic curves over the rational function field. Let $\mathcal{H}$ be the Hermitian function field, and $\mathcal{C}$ be a maximal

    uiuc Repository record for On congruence function fields with many rational places (opens in a new tab)

  2. Covers and invariants of Deligne-Lusztig curves

    … one or more of the Hermitian, Suzuki, and Ree curves, which are three families of algebraic curves over finite fields which have pronounced arithmetic and geometric properties. In the first part, we use a ray class field construction to produce covers of each of these three families of curves

    uiuc Repository record for Covers and invariants of Deligne-Lusztig curves (opens in a new tab)