3 papers
math.AG2025
Wild Brauer classes via prismatic cohomology
Emiliano Ambrosi, Rachel Newton, Margherita Pagano
Let be a finite extension of and a smooth proper -variety with good reduction. Under a mild assumption on the behaviour of Hodge numbers under reduction m…
math.NT2023
A survey of local-global methods for Hilbert's Tenth Problem
Sylvy Anscombe, Valentijn Karemaker, Zeynep Kisakürek +3
Hilbert's Tenth Problem (H10) for a ring R asks for an algorithm to decide correctly, for each , whether the diophantine equation $f(X_{1},...,X_…
math.NT2023
The role of primes of good reduction in the Brauer--Manin obstruction
Margherita Pagano
We discuss the role of primes of good reduction in the existence of the Brauer--Manin obstruction to weak approximation for varieties defined over number fields. Following Bright a…