On Koszul complex of a supermodule
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909083394637824 |
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| author | Gómez, Darío Sánchez de Salas, Fernando Sancho |
| author_facet | Gómez, Darío Sánchez de Salas, Fernando Sancho |
| contents | This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an analogue to Bott's formula in the supercommutative setting computing the cohomology of twisted differential p-forms sheaves on the projective superspaces is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14790 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Koszul complex of a supermodule Gómez, Darío Sánchez de Salas, Fernando Sancho Algebraic Geometry Primary: 14F10, 17A70, Secondary: 58A50 This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an analogue to Bott's formula in the supercommutative setting computing the cohomology of twisted differential p-forms sheaves on the projective superspaces is given. |
| title | On Koszul complex of a supermodule |
| topic | Algebraic Geometry Primary: 14F10, 17A70, Secondary: 58A50 |
| url | https://arxiv.org/abs/2401.14790 |