Quasiminimality of complex powers
The complex field, equipped with the multivalued functions of raising to each complex power, is quasiminimal, proving a conjecture of Zilber and providing evidence towards his stronger conjecture that the complex exponential field is quasiminimal.
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2024-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424000823/type/journal_article |
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| _version_ | 1846125896283455488 |
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| author | Francesco Gallinaro Jonathan Kirby |
| author_facet | Francesco Gallinaro Jonathan Kirby |
| author_sort | Francesco Gallinaro |
| collection | DOAJ |
| description | The complex field, equipped with the multivalued functions of raising to each complex power, is quasiminimal, proving a conjecture of Zilber and providing evidence towards his stronger conjecture that the complex exponential field is quasiminimal. |
| format | Article |
| id | doaj-art-1d3f590baece4f3fac70b8c37ce315f1 |
| institution | Kabale University |
| issn | 2050-5094 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-1d3f590baece4f3fac70b8c37ce315f12024-12-13T08:30:53ZengCambridge University PressForum of Mathematics, Sigma2050-50942024-01-011210.1017/fms.2024.82Quasiminimality of complex powersFrancesco Gallinaro0https://orcid.org/0000-0002-9171-8522Jonathan Kirby1https://orcid.org/0000-0003-4031-9107Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy;School of Mathematics, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, United Kingdom; E-mail:The complex field, equipped with the multivalued functions of raising to each complex power, is quasiminimal, proving a conjecture of Zilber and providing evidence towards his stronger conjecture that the complex exponential field is quasiminimal.https://www.cambridge.org/core/product/identifier/S2050509424000823/type/journal_article03C6503C75 |
| spellingShingle | Francesco Gallinaro Jonathan Kirby Quasiminimality of complex powers Forum of Mathematics, Sigma 03C65 03C75 |
| title | Quasiminimality of complex powers |
| title_full | Quasiminimality of complex powers |
| title_fullStr | Quasiminimality of complex powers |
| title_full_unstemmed | Quasiminimality of complex powers |
| title_short | Quasiminimality of complex powers |
| title_sort | quasiminimality of complex powers |
| topic | 03C65 03C75 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424000823/type/journal_article |
| work_keys_str_mv | AT francescogallinaro quasiminimalityofcomplexpowers AT jonathankirby quasiminimalityofcomplexpowers |