Computing the Field of moduli of some non-hyperelliptic pseudo-real curves
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913191574896640 |
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| author | Hidalgo, Ruben A. |
| author_facet | Hidalgo, Ruben A. |
| contents | The explicit computation of the field of moduli of a closed Riemann surface is, in general, a difficult task. In this paper, for each even integer $k \geq 2$, we consider a suitable $2$-real parameter family of non-hyperelliptic pseudo-real Riemann surfaces of genus $g=1+(2k-3)k^{4}$. For each of them, we compute its field of moduli and also a minimal field of definition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05287 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing the Field of moduli of some non-hyperelliptic pseudo-real curves Hidalgo, Ruben A. Algebraic Geometry Complex Variables Primary 14H37, 14H45, Secondary 30F10 The explicit computation of the field of moduli of a closed Riemann surface is, in general, a difficult task. In this paper, for each even integer $k \geq 2$, we consider a suitable $2$-real parameter family of non-hyperelliptic pseudo-real Riemann surfaces of genus $g=1+(2k-3)k^{4}$. For each of them, we compute its field of moduli and also a minimal field of definition. |
| title | Computing the Field of moduli of some non-hyperelliptic pseudo-real curves |
| topic | Algebraic Geometry Complex Variables Primary 14H37, 14H45, Secondary 30F10 |
| url | https://arxiv.org/abs/2401.05287 |