From the 1 of 6 linked papers with an AI index.
6 papers
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…
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…
The animation of the opposite of finite sets
Benjamin Antieau
We give a direct proof of the fact that the animation of the opposite of the category of finite sets is a 1-category.
Cyclotomic synthetic spectra
Benjamin Antieau, Noah Riggenbach
We define an -category of -typical cyclotomic synthetic spectra and prove that the motivic filtration on , defined by Bha…
Spherical Witt vectors and integral models for spaces
Benjamin Antieau
We give a new construction of the spherical Witt vector functor of Lurie and Burklund-Schlank-Yuan and extend it to nonconnective objects using synthetic spectra and recent work of…
Spectral sequences, décalage, and the Beilinson t-structure
Benjamin Antieau
This paper explains the theory of spectral sequences via décalage and the Beilinson t-structure.