Geometric Points in Tensor Triangular Geometry
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912983943217152 |
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| author | Barthel, Tobias Hyslop, Logan Ramzi, Maxime |
| author_facet | Barthel, Tobias Hyslop, Logan Ramzi, Maxime |
| contents | In this paper, we study geometric points in tensor triangular geometry. In doing so, we construct a counter-example to Balmer's Nerves of Steel conjecture using free constructions in higher Zariski geometry. We then go on to introduce and discuss constructible spectra in the context of tensor triangular geometry. For tensor triangulated categories satisfying a mild enhancement condition, we use these spectra to construct geometric incarnations of (homological or triangular) primes via maps to "pointlike" tensor triangulated categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25664 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric Points in Tensor Triangular Geometry Barthel, Tobias Hyslop, Logan Ramzi, Maxime Algebraic Topology Commutative Algebra Algebraic Geometry Category Theory Representation Theory In this paper, we study geometric points in tensor triangular geometry. In doing so, we construct a counter-example to Balmer's Nerves of Steel conjecture using free constructions in higher Zariski geometry. We then go on to introduce and discuss constructible spectra in the context of tensor triangular geometry. For tensor triangulated categories satisfying a mild enhancement condition, we use these spectra to construct geometric incarnations of (homological or triangular) primes via maps to "pointlike" tensor triangulated categories. |
| title | Geometric Points in Tensor Triangular Geometry |
| topic | Algebraic Topology Commutative Algebra Algebraic Geometry Category Theory Representation Theory |
| url | https://arxiv.org/abs/2603.25664 |