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A lower bound for the Call-Silverman height in cyclotomic extensions

Alessio Cangini

Source record

Source: arXiv

Published: Sep 1, 2026

arXiv: 2609.01747

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Source abstract

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

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