Logarithmic Hochschild (co)homology of logarithmic orbifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911593181216768 |
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| author | Hablicsek, Marton Herr, Leo Leonardi, Francesca |
| author_facet | Hablicsek, Marton Herr, Leo Leonardi, Francesca |
| contents | Recently, the authors of this paper introduced logarithmic Hochschild (co)homology of logarithmic spaces in a geometric way using formality of derived intersections. In this paper, the authors extend the decomposition theorem for the logarithmic Hochschild (co)homology of firm orbifolds to general logarithmic orbifolds and consider two applications of the decomposition theorem. First, we consider two versions of a symmetric product and compute the logarithmic Hochschild homology of them. Second, we show that logarithmic Hochschild homology is invariant under root stack operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12983 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Logarithmic Hochschild (co)homology of logarithmic orbifolds Hablicsek, Marton Herr, Leo Leonardi, Francesca Algebraic Geometry Recently, the authors of this paper introduced logarithmic Hochschild (co)homology of logarithmic spaces in a geometric way using formality of derived intersections. In this paper, the authors extend the decomposition theorem for the logarithmic Hochschild (co)homology of firm orbifolds to general logarithmic orbifolds and consider two applications of the decomposition theorem. First, we consider two versions of a symmetric product and compute the logarithmic Hochschild homology of them. Second, we show that logarithmic Hochschild homology is invariant under root stack operations. |
| title | Logarithmic Hochschild (co)homology of logarithmic orbifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.12983 |