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Algebraic independence for values of integral curves

Abstract:

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
Version:
Publisher's Version

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Publisher copy:
10.2140/ant.2019.13.643

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
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:
1944-7833
ISSN:
1937-0652
Pubs id:
pubs:963704
URN:
uri:887d5d2f-2c20-41ff-86b1-008976da9992
UUID:
uuid:887d5d2f-2c20-41ff-86b1-008976da9992
Local pid:
pubs:963704

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