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math.AG2023
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 t…
math.AT2023
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…