3 papers
math.NT2026
A lower bound for the Call-Silverman height in cyclotomic extensions
Alessio Cangini
For quadratic postcritically finite polynomials defined over a number field , we establish lower bounds for the Call-Silverman height of wandering algebraic integers lying in cy…
math.DS2025
Totally real points in the multibrot sets
Alessio Cangini, Hang Fu
We classify all totally real parabolic parameters in the multibrot sets, extending a theorem of Buff and Koch.
math.AG2025
Does the Grothendieck ring of varieties contain nilpotent elements?
Anna Bot, Alessio Cangini, Immanuel van Santen
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 or at least…