Certain maximal curves and Cartier operators ∗
نویسندگان
چکیده
In general, this bound is sharp. In fact if q is a square, there exist several curves that attain the above upper bound (see [4], [5], [14] and [23]). We say a curve is maximal (resp. minimal) if it attains the above upper (resp. lower) bound. There are however situations in which the bound can be improved. For instance, if q is not a square there is a non-trivial improvement due to Serre (see [17, Section V.3]): q + 1 − g[2√q] ≤ N ≤ q + 1 + g[2√q],
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