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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2009.14099 |
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| _version_ | 1866913681905811456 |
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| author | Pérez-Marco, Ricardo |
| author_facet | Pérez-Marco, Ricardo |
| contents | We prove that singularities with holomorphic monodromies are preserved by the Hadamard product. We find an explicit formula for the monodromy of the singularities, and similar formulas for the exponential eñe product. Using these formulas we get new direct proofs of classical results and the invariance of some rings of functions by Hadamard and eñe product (which is the product of the big Witt ring). This explains the good behavior of the eñe product on divisors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_14099 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Monodromies of singularities of the Hadamard and eñe product Pérez-Marco, Ricardo Complex Variables Number Theory We prove that singularities with holomorphic monodromies are preserved by the Hadamard product. We find an explicit formula for the monodromy of the singularities, and similar formulas for the exponential eñe product. Using these formulas we get new direct proofs of classical results and the invariance of some rings of functions by Hadamard and eñe product (which is the product of the big Witt ring). This explains the good behavior of the eñe product on divisors. |
| title | Monodromies of singularities of the Hadamard and eñe product |
| topic | Complex Variables Number Theory |
| url | https://arxiv.org/abs/2009.14099 |