Lefschetz properties of local face modules
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912577310687232 |
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| author | Larson, Matt Stapledon, Alan |
| author_facet | Larson, Matt Stapledon, Alan |
| contents | Local face modules are modules over face rings whose Hilbert function is the local $h$-vector of a triangulation of a simplex. We study when Lefschetz properties hold for local face modules. We prove new inequalities for local $h$-vectors of vertex-induced triangulations by proving Lefschetz properties for local face modules of these triangulations. We show that, even for regular triangulations, Lefschetz properties can fail for local face modules in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02038 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lefschetz properties of local face modules Larson, Matt Stapledon, Alan Combinatorics Commutative Algebra 05E45 05E40 Local face modules are modules over face rings whose Hilbert function is the local $h$-vector of a triangulation of a simplex. We study when Lefschetz properties hold for local face modules. We prove new inequalities for local $h$-vectors of vertex-induced triangulations by proving Lefschetz properties for local face modules of these triangulations. We show that, even for regular triangulations, Lefschetz properties can fail for local face modules in positive characteristic. |
| title | Lefschetz properties of local face modules |
| topic | Combinatorics Commutative Algebra 05E45 05E40 |
| url | https://arxiv.org/abs/2504.02038 |