Tropical methods for stable octic double planes
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914267364589568 |
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| author | Evans, Jonathan David Simonetti, Angelica Urzúa, Giancarlo |
| author_facet | Evans, Jonathan David Simonetti, Angelica Urzúa, Giancarlo |
| contents | This paper has been written to illustrate the power of techniques from tropical geometry and mirror symmetry for studying the KSBA moduli space of surfaces on or near the Noether line. We focus on the moduli space of octic double planes ($K^2 = 2$, $p_g = 3$) and use methods from tropical and toric geometry to classify the strata corresponding to normal KSBA-stable surfaces, focusing on the non-Gorenstein case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tropical methods for stable octic double planes Evans, Jonathan David Simonetti, Angelica Urzúa, Giancarlo Algebraic Geometry Symplectic Geometry 14J10, 14J17, 14J29 This paper has been written to illustrate the power of techniques from tropical geometry and mirror symmetry for studying the KSBA moduli space of surfaces on or near the Noether line. We focus on the moduli space of octic double planes ($K^2 = 2$, $p_g = 3$) and use methods from tropical and toric geometry to classify the strata corresponding to normal KSBA-stable surfaces, focusing on the non-Gorenstein case. |
| title | Tropical methods for stable octic double planes |
| topic | Algebraic Geometry Symplectic Geometry 14J10, 14J17, 14J29 |
| url | https://arxiv.org/abs/2405.02735 |