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math.NT2022
Stickelberger's discriminant theorem for algebras
Asher Auel, Owen Biesel, John Voight
Stickelberger proved that the discriminant of a number field is congruent to 0 or 1 modulo 4. We generalize this to an arbitrary (not necessarily commutative) ring of finite rank o…
math.NT2021★ 2 cited
Explicit descent on elliptic curves and splitting Brauer classes
Benjamin Antieau, Asher Auel
We prove new results on splitting Brauer classes by genus 1 curves, settling in particular the case of degree 7 classes over global fields. Though our method is cohomological in na…