Poisson $C^\infty$-schemes
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912600640454656 |
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| author | Lerman, Eugene |
| author_facet | Lerman, Eugene |
| contents | We introduce Poisson $C^\infty$-rings and Poisson local $C^\infty$-ringed spaces. We show that the spectrum of a Poisson $C^\infty$-ring is an affine Poisson $C^\infty$-scheme. We then discuss applications that include singular symplectic and Poisson reductions, singular quasi-Poisson reduction, coisotropic reduction and Poisson-Dirac subschemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18621 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson $C^\infty$-schemes Lerman, Eugene Symplectic Geometry Mathematical Physics Algebraic Geometry We introduce Poisson $C^\infty$-rings and Poisson local $C^\infty$-ringed spaces. We show that the spectrum of a Poisson $C^\infty$-ring is an affine Poisson $C^\infty$-scheme. We then discuss applications that include singular symplectic and Poisson reductions, singular quasi-Poisson reduction, coisotropic reduction and Poisson-Dirac subschemes. |
| title | Poisson $C^\infty$-schemes |
| topic | Symplectic Geometry Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2507.18621 |