Localized dg-coalgebras over a field are equivalent to coalgebras over cofibrant enriched ∞-operads via induction on cell attachments, yielding point-set models for E_n-coalgebras and cellular chains.
The Pro-étale topology for schemes
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Introduces the derived binomial monad LBin and proves it gives the integral Betti cohomology of fs log complex analytic spaces as the free coaugmented derived binomial ring on O_X to M^gr, extending Steenbrink's formula to Z-coefficients.
Introduces filtered formal groups and Cartier duality, proves a G_m-equivariant degeneration via normal cone construction, establishes unicity of complete filtrations, recovers the MRT19 filtration, and studies lifts of G-hat-Hochschild homology to spectral algebraic geometry.
citing papers explorer
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Point-set models for homotopy coherent coalgebras
Localized dg-coalgebras over a field are equivalent to coalgebras over cofibrant enriched ∞-operads via induction on cell attachments, yielding point-set models for E_n-coalgebras and cellular chains.
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Derived binomial rings I: integral Betti cohomology of log schemes
Introduces the derived binomial monad LBin and proves it gives the integral Betti cohomology of fs log complex analytic spaces as the free coaugmented derived binomial ring on O_X to M^gr, extending Steenbrink's formula to Z-coefficients.
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Filtered formal groups, Cartier duality, and derived algebraic geometry
Introduces filtered formal groups and Cartier duality, proves a G_m-equivariant degeneration via normal cone construction, establishes unicity of complete filtrations, recovers the MRT19 filtration, and studies lifts of G-hat-Hochschild homology to spectral algebraic geometry.