A lower bound for the Call-Silverman height in cyclotomic extensions
Alessio Cangini
Abstract
For quadratic postcritically finite polynomials defined over a number field K, we establish lower bounds for the Call-Silverman height of wandering algebraic integers lying in cyclotomic extensions of K and provide partial results for the nonintegral case. Our proof combines potential theory and algebraic number theory with equidistribution techniques.
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