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math.AT2023★ 1 cited
Topological Hochschild homology, truncated Brown-Peterson spectra, and a topological Sen operator
Sanath K Devalapurkar
In this article, we study the topological Hochschild homology of -forms of truncated Brown-Peterson spectra, taken relative to certain Thom spectra (introduc…
math.AT2023
Lifting to truncated Brown-Peterson spectra and Hodge-de Rham degeneration in characteristic
Sanath K. Devalapurkar
The goal of this note is to prove that Hodge-de Rham degeneration holds for smooth and proper -schemes with as soon as its category of quasicoherent…
math.AT2023
Examples of disk algebras
Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2
We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum , its truncated variants , Ravenel's spectra , and even…