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math.NT2026
Iterated toric descent obstruction and homogeneous spaces over geometric global fields
Felipe Gambardella, Nguyen Manh Linh
We study torsors under tori and groups of multiplicative type together with the obstruction they define to the existence of rational points in the setting of geometric global field…
math.NT2026
Transfer principles and the Kato-Kuzumaki conjecture
Felipe Gambardella, Konstantinos Kartas
We show that for tame valued fields of equal characteristic with divisible value group, the property lifts from the residue field to the valued field under suitable hypothese…