Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
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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.
New proof of Esnault vanishing for constructible sheaf cohomology in mock Frobenius towers via global perversity of nearby cycles.
Lecture notes covering the theory of algebraic stacks for an 11-lecture graduate course.
citing papers explorer
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Functoriality of logarithmic Hochschild homology of log smooth pairs
Logarithmic Hochschild homology is functorial for strong log Fourier-Mukai transforms on smooth proper log pairs, yielding a dg bicategory of logarithmic correspondences with compatible Chern characters and Euler pairings.
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Vanishing of cohomology in infinitely ramified towers
New proof of Esnault vanishing for constructible sheaf cohomology in mock Frobenius towers via global perversity of nearby cycles.