The decomposition theorem for logarithmic Hochschild homology extends from firm to general logarithmic orbifolds, enabling computations for symmetric products and proving invariance under root stack operations.
Hochschild homology for log schemes
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abstract
We extend the notions of Hochschild and cyclic homology to morphisms from algebraic spaces to algebraic stacks. Using this, we obtain generalizations to log schemes in the sense of Fontaine and Illusie of these homology theories.
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math.AG 1years
2026 1verdicts
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Logarithmic Hochschild (co)homology of logarithmic orbifolds
The decomposition theorem for logarithmic Hochschild homology extends from firm to general logarithmic orbifolds, enabling computations for symmetric products and proving invariance under root stack operations.