Hyperelliptic Gorenstein curves and logarithmic differentials
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909439586467840 |
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| author | Battistella, Luca Bozlee, Sebastian |
| author_facet | Battistella, Luca Bozlee, Sebastian |
| contents | We produce a flexible tool for contracting subcurves of logarithmic hyperelliptic curves, which is local around the subcurve and commutes with arbitrary base-change. As an application, we prove that hyperelliptic multiscale differentials determine a sequence of Gorenstein contractions of the underlying nodal curve, whose dualising bundle they descend to generate. This is the first piece of evidence for a more general conjecture about limits of differentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03947 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hyperelliptic Gorenstein curves and logarithmic differentials Battistella, Luca Bozlee, Sebastian Algebraic Geometry Geometric Topology 14H20 (Primary) 14H10 (Secondary) We produce a flexible tool for contracting subcurves of logarithmic hyperelliptic curves, which is local around the subcurve and commutes with arbitrary base-change. As an application, we prove that hyperelliptic multiscale differentials determine a sequence of Gorenstein contractions of the underlying nodal curve, whose dualising bundle they descend to generate. This is the first piece of evidence for a more general conjecture about limits of differentials. |
| title | Hyperelliptic Gorenstein curves and logarithmic differentials |
| topic | Algebraic Geometry Geometric Topology 14H20 (Primary) 14H10 (Secondary) |
| url | https://arxiv.org/abs/2307.03947 |