New and General Type Meromorphic $1$-forms on Curves
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914049988493312 |
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| author | Kumbhakar, Partha |
| author_facet | Kumbhakar, Partha |
| contents | In this article, we study the existence of new and general type meromorphic $1$-forms on curves through explicit construction. Specifically, we have constructed a large family of new and general type meromorphic $1$-forms on $\mathbb{P}^1,$ elliptic and hyperelliptic curves. We also established a connection to the Hurwitz realization problem of branch cover for the Riemann Sphere, which provides an algorithm to determine whether a $1$-form on $\mathbb{P}^1$ (of some restricted class) is new or old. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New and General Type Meromorphic $1$-forms on Curves Kumbhakar, Partha Algebraic Geometry 12H05, 14H99, 34A26 In this article, we study the existence of new and general type meromorphic $1$-forms on curves through explicit construction. Specifically, we have constructed a large family of new and general type meromorphic $1$-forms on $\mathbb{P}^1,$ elliptic and hyperelliptic curves. We also established a connection to the Hurwitz realization problem of branch cover for the Riemann Sphere, which provides an algorithm to determine whether a $1$-form on $\mathbb{P}^1$ (of some restricted class) is new or old. |
| title | New and General Type Meromorphic $1$-forms on Curves |
| topic | Algebraic Geometry 12H05, 14H99, 34A26 |
| url | https://arxiv.org/abs/2408.00302 |