Some lower bounds for the maximal number of A-singularities in algebraic surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917018666532864 |
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| author | Escudero, Juan García |
| author_facet | Escudero, Juan García |
| contents | We construct algebraic surfaces with a large number of type A singularities. Bivariate polynomials presented in previous works for the construction of nodal surfaces and certain families of Belyi polynomials are used. In some cases explicit expressions in terms of classical Jacobi polynomials are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14539 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some lower bounds for the maximal number of A-singularities in algebraic surfaces Escudero, Juan García Algebraic Geometry 14J17, 14J70 We construct algebraic surfaces with a large number of type A singularities. Bivariate polynomials presented in previous works for the construction of nodal surfaces and certain families of Belyi polynomials are used. In some cases explicit expressions in terms of classical Jacobi polynomials are obtained. |
| title | Some lower bounds for the maximal number of A-singularities in algebraic surfaces |
| topic | Algebraic Geometry 14J17, 14J70 |
| url | https://arxiv.org/abs/2510.14539 |