Wall-crossing of universal Brill-Noether classes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915329101266944 |
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| author | Abreu, Alex Pagani, Nicola |
| author_facet | Abreu, Alex Pagani, Nicola |
| contents | We give an explicit graph formula, in terms of decorated boundary strata classes, for the wall-crossing of universal Brill-Noether classes. More precisely, fix n>0 and d<g , and two stability conditions ϕ^-, ϕ^+ for degree d compactified universal (over the moduli space of stable n-pointed curves of genus g) Jacobians that lie on opposite sides of a stability hyperplane. Our main result is a formula for the difference between the Brill-Noether classes, compared via the pullback along the (rational) identity map. The calculation involves constructing a resolution of the identity map by means of subsequent blow-ups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16836 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wall-crossing of universal Brill-Noether classes Abreu, Alex Pagani, Nicola Algebraic Geometry We give an explicit graph formula, in terms of decorated boundary strata classes, for the wall-crossing of universal Brill-Noether classes. More precisely, fix n>0 and d<g , and two stability conditions ϕ^-, ϕ^+ for degree d compactified universal (over the moduli space of stable n-pointed curves of genus g) Jacobians that lie on opposite sides of a stability hyperplane. Our main result is a formula for the difference between the Brill-Noether classes, compared via the pullback along the (rational) identity map. The calculation involves constructing a resolution of the identity map by means of subsequent blow-ups. |
| title | Wall-crossing of universal Brill-Noether classes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2303.16836 |