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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.AG2022★ 1 cited
Maximal Brill-Noether loci via K3 surfaces
Asher Auel, Richard Haburcak
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studying the lifting of linear systems on curves in polarized K3 surfaces, which motiva…