arXiv subjects

Alessio Cangini

Publications and source records attributed to Alessio Cangini.

3 recordsLinked to original sources

arXiv2026

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

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.

math.NT↗

arXiv2025

Totally real points in the multibrot sets

We classify all totally real parabolic parameters in the multibrot sets, extending a theorem of Buff and Koch.

math.DS↗

arXiv2025

Does the Grothendieck ring of varieties contain nilpotent elements?

We show that a ring closely related to the Grothendieck ring of varieties has nilpotent elements, provided that the characteristic of the ground field is equal to $11$ or at least $17$.

math.AG↗