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math.NT2025
A heuristic for ray class groups of quadratic number fields
Alex Bartel, Carlo Pagano
We formulate a model for the average behaviour of ray class groups of real quadratic fields with respect to a fixed rational modulus, locally at a finite set of odd primes. To…
math.NT2023
Brauer-Manin obstructions requiring arbitrarily many Brauer classes
Jennifer Berg, Carlo Pagano, Bjorn Poonen +4
On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show…