Logarithmic Prismatic Cohomology via Logarithmic THH
Copyright policy )Logarithmic Prismatic Cohomology via Logarithmic THH
Abstract Inspired by Bhatt–Morrow–Scholze’s work on $\textrm{THH}$, we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log $\textrm{THH}$ and its variants. Moreover, of independent interest, we describe log $\textrm{THH}$ for quasiregular semiperfectoid pre-log rings as a $1$-parameter deformation of ordinary, non-logarithmic Hochschild homology.
- University of Milan Italy
- University of Wuppertal Germany
- University of Oslo Norway
logarithmic topological Hochschild homology, prismatic cohomology, K-Theory and Homology (math.KT), \(p\)-adic cohomology, crystalline cohomology, Logarithmic algebraic geometry, log schemes, 14F30, 19D55, 13D03, 14A21, 510, 620, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, FOS: Mathematics, \(K\)-theory and homology; cyclic homology and cohomology, Algebraic Geometry (math.AG)
logarithmic topological Hochschild homology, prismatic cohomology, K-Theory and Homology (math.KT), \(p\)-adic cohomology, crystalline cohomology, Logarithmic algebraic geometry, log schemes, 14F30, 19D55, 13D03, 14A21, 510, 620, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, FOS: Mathematics, \(K\)-theory and homology; cyclic homology and cohomology, Algebraic Geometry (math.AG)
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