Donagi-Markman cubics for Hitchin systems of type A2, B2. G2
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909630017306624 |
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| author | Bruzzo, Ugo Dalakov, Peter |
| author_facet | Bruzzo, Ugo Dalakov, Peter |
| contents | We obtain explicit formulae for the Donagi-Markman (Bryant-Griffiths, Yukawa) cubic for Hitchin systems of type $A_2$, $B_2$ and $G_2$. This is achieved by evaluating the quadratic residues in the Balduzzi-Pantev formula, using a previous result of ours. For $G_2$ we also recover earlier results of Hitchin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17607 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Donagi-Markman cubics for Hitchin systems of type A2, B2. G2 Bruzzo, Ugo Dalakov, Peter Algebraic Geometry 14D20, 14D07, 14H70 We obtain explicit formulae for the Donagi-Markman (Bryant-Griffiths, Yukawa) cubic for Hitchin systems of type $A_2$, $B_2$ and $G_2$. This is achieved by evaluating the quadratic residues in the Balduzzi-Pantev formula, using a previous result of ours. For $G_2$ we also recover earlier results of Hitchin. |
| title | Donagi-Markman cubics for Hitchin systems of type A2, B2. G2 |
| topic | Algebraic Geometry 14D20, 14D07, 14H70 |
| url | https://arxiv.org/abs/2412.17607 |