Journal article
Algebraic independence for values of integral curves
- Abstract:
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We prove a transcendence theorem concerning values of holomorphic maps from a disk to a quasi-projective variety over Q that are integral curves of some algebraic vector field (defined over Q). These maps are required to satisfy some integrality property, besides a growth condition and a strong form of Zariski-density that are natural for integral curves of algebraic vector fields. This result generalizes a theorem of Nesterenko concerning algebraic independence of values of the Eisenstein se...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 1.5MB)
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- Publisher copy:
- 10.2140/ant.2019.13.643
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Authors
Bibliographic Details
- Publisher:
- Mathematical Sciences Publishers Publisher's website
- Journal:
- Algebra and Number Theory Journal website
- Volume:
- 13
- Issue:
- 3
- Pages:
- 643–694
- Publication date:
- 2019-03-23
- Acceptance date:
- 2018-12-25
- DOI:
- EISSN:
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1944-7833
- ISSN:
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1937-0652
- Source identifiers:
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963704
Item Description
- Pubs id:
-
pubs:963704
- UUID:
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uuid:887d5d2f-2c20-41ff-86b1-008976da9992
- Local pid:
- pubs:963704
- Deposit date:
- 2019-01-18
Terms of use
- Copyright holder:
- Mathematical Sciences Publishers
- Copyright date:
- 2019
- Notes:
- © 2019 Mathematical Sciences Publishers. This is the publisher's version of the article. The final version is available online from Mathematical Sciences Publishers at: 10.2140/ant.2019.13.643
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