A counterexample to the Bhatt-Lurie cohomological dimension conjecture is exhibited using a non-excellent DVR constructed by Datta-Smith, with the expected bound recovered under excellence.
Logarithmic prismatic cohomo logy I
3 Pith papers cite this work. Polarity classification is still indexing.
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Authors prove representability of log prismatic and syntomic cohomology in log motives, obtain Gysin maps and comparison theorems, and compute examples like Grassmannians.
A finite-height Z_p-local system on a small affine semistable adic space becomes semistable after pullback to the Kummer cover X_m defined by adjoining π^{1/p^m}.
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A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture
A counterexample to the Bhatt-Lurie cohomological dimension conjecture is exhibited using a non-excellent DVR constructed by Datta-Smith, with the expected bound recovered under excellence.
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Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems
Authors prove representability of log prismatic and syntomic cohomology in log motives, obtain Gysin maps and comparison theorems, and compute examples like Grassmannians.
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Potential semistability of Finite height Galois representations: Relative case
A finite-height Z_p-local system on a small affine semistable adic space becomes semistable after pullback to the Kummer cover X_m defined by adjoining π^{1/p^m}.