An introduction to the algebraic geometry of the Putman-Wieland conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866915161833472000 |
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| author | Landesman, Aaron Litt, Daniel |
| author_facet | Landesman, Aaron Litt, Daniel |
| contents | We give algebraic and geometric perspectives on our prior results toward the Putman-Wieland conjecture. This leads to interesting new constructions of families of "origami" curves whose Jacobians have high-dimensional isotrivial isogeny factors. We also explain how a hyperelliptic analogue of the Putman-Wieland conjecture fails, following work of Marković. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_00717 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An introduction to the algebraic geometry of the Putman-Wieland conjecture Landesman, Aaron Litt, Daniel Algebraic Geometry Geometric Topology 14D05, 14H10, 57K20 We give algebraic and geometric perspectives on our prior results toward the Putman-Wieland conjecture. This leads to interesting new constructions of families of "origami" curves whose Jacobians have high-dimensional isotrivial isogeny factors. We also explain how a hyperelliptic analogue of the Putman-Wieland conjecture fails, following work of Marković. |
| title | An introduction to the algebraic geometry of the Putman-Wieland conjecture |
| topic | Algebraic Geometry Geometric Topology 14D05, 14H10, 57K20 |
| url | https://arxiv.org/abs/2209.00717 |