Jordan homomorphisms and harmonic mappings
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2013
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| _version_ | 1866916119619567616 |
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| author | Blunck, Andrea Havlicek, Hans |
| author_facet | Blunck, Andrea Havlicek, Hans |
| contents | We show that each Jordan homomorphism $R\to R'$ of rings gives rise to a harmonic mapping of one connected component of the projective line over $R$ into the projective line over $R'$. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over $R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_0178 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Jordan homomorphisms and harmonic mappings Blunck, Andrea Havlicek, Hans Algebraic Geometry Rings and Algebras 51C05, 51B05, 17C50 We show that each Jordan homomorphism $R\to R'$ of rings gives rise to a harmonic mapping of one connected component of the projective line over $R$ into the projective line over $R'$. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over $R$. |
| title | Jordan homomorphisms and harmonic mappings |
| topic | Algebraic Geometry Rings and Algebras 51C05, 51B05, 17C50 |
| url | https://arxiv.org/abs/1304.0178 |