On the topology of real algebraic stacks
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911228690956288 |
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| author | Ambrosi, Emiliano Fortman, Olivier de Gaay |
| author_facet | Ambrosi, Emiliano Fortman, Olivier de Gaay |
| contents | Motivated by questions arising in the theory of moduli spaces in real algebraic geometry, we develop a range of methods to study the topology of the real locus of a Deligne-Mumford stack over the real numbers. As an application, we verify in several cases the Smith-Thom type inequality for stacks that we conjectured in an earlier work. This requires combining techniques from group theory, algebraic geometry, and topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02720 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the topology of real algebraic stacks Ambrosi, Emiliano Fortman, Olivier de Gaay Algebraic Geometry Algebraic Topology General Topology Motivated by questions arising in the theory of moduli spaces in real algebraic geometry, we develop a range of methods to study the topology of the real locus of a Deligne-Mumford stack over the real numbers. As an application, we verify in several cases the Smith-Thom type inequality for stacks that we conjectured in an earlier work. This requires combining techniques from group theory, algebraic geometry, and topology. |
| title | On the topology of real algebraic stacks |
| topic | Algebraic Geometry Algebraic Topology General Topology |
| url | https://arxiv.org/abs/2504.02720 |