Positive del Pezzo Geometry
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917478288850944 |
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| author | Early, Nick Geiger, Alheydis Panizzut, Marta Sturmfels, Bernd Yun, Claudia He |
| author_facet | Early, Nick Geiger, Alheydis Panizzut, Marta Sturmfels, Bernd Yun, Claudia He |
| contents | Real, complex, and tropical algebraic geometry join forces in a new branch of mathematical physics called positive geometry. We develop the positive geometry of del Pezzo surfaces and their moduli spaces, viewed as very affine varieties. Their connected components are derived from polyhedral spaces with Weyl group symmetries. We study their canonical forms and scattering amplitudes, and we solve the likelihood equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13604 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Positive del Pezzo Geometry Early, Nick Geiger, Alheydis Panizzut, Marta Sturmfels, Bernd Yun, Claudia He Combinatorics High Energy Physics - Theory Algebraic Geometry 05E14, 14J81 (Primary) 14P99 (Secondary) Real, complex, and tropical algebraic geometry join forces in a new branch of mathematical physics called positive geometry. We develop the positive geometry of del Pezzo surfaces and their moduli spaces, viewed as very affine varieties. Their connected components are derived from polyhedral spaces with Weyl group symmetries. We study their canonical forms and scattering amplitudes, and we solve the likelihood equations. |
| title | Positive del Pezzo Geometry |
| topic | Combinatorics High Energy Physics - Theory Algebraic Geometry 05E14, 14J81 (Primary) 14P99 (Secondary) |
| url | https://arxiv.org/abs/2306.13604 |