On supercurves of genus 1 with an underlying odd spin structure
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916146193629184 |
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| author | Polishchuk, Alexander |
| author_facet | Polishchuk, Alexander |
| contents | We study the standard family of supercurves of genus 1 with an underlying odd spin structures. We give a simple algebraic description of this family and of the compactified family of stable supercurves with one Neveu-Schwarz puncture. We also describe the Gauss-Manin connection on the first de Rham cohomology of this family and compute the superperiods of global differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02424 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On supercurves of genus 1 with an underlying odd spin structure Polishchuk, Alexander Algebraic Geometry We study the standard family of supercurves of genus 1 with an underlying odd spin structures. We give a simple algebraic description of this family and of the compactified family of stable supercurves with one Neveu-Schwarz puncture. We also describe the Gauss-Manin connection on the first de Rham cohomology of this family and compute the superperiods of global differentials. |
| title | On supercurves of genus 1 with an underlying odd spin structure |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2403.02424 |