brauer groups 1brauer-manin obstruction 1elliptic curves 1genus one curves 1hilbert scheme 1severi-brauer varieties 1
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math.AG2026
Splitting Brauer classes by genus one curves over number fields
Benjamin Antieau, Asher Auel, Federico Scavia
The authors show that every Brauer class over a number field can be split by a genus‑one curve by proving that any Severi‑Brauer variety of dimension ≥2 contains a twisted elliptic…
math.AG2026
Prismatic cohomology relative to -rings
Benjamin Antieau, Achim Krause, Thomas Nikolaus
We develop prismatic and syntomic cohomology relative to a -ring. This simultaneously generalizes Bhatt and Scholze's absolute and relative prismatic cohomology and shows that…