具有指定乘子的周期圈的三次多项式
Cubic polynomials with periodic cycles of a specified multiplier
摘要：
我们考虑定义在函数域C（L）上的三次多项式f（z）=z^3+az+b，其标记点的周期为N，乘数为L。在N=1的情况下，有无穷多个这样的对象，而在N>2的情况下，只有100个。N=2的情况具有特别丰富的结构，我们能够描述所有这样的三次多项式，这些三次多项式定义在通过将L的m次根与C相连而获得的域上，对于所有L。
英文摘要：
We consider cubic polynomials f(z)=z^3+az+b defined over the function field C(L), with a marked point of period N and multiplier L. In the case N=1, there are infinitely many such objects, and in the case N>2, only finitely many. The case N=2 has particularly rich structure, and we are able to describe all such cubic polynomials defined over the field obtained by adjoining to C the mth roots of L, for all L.
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