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Galois theory, functional Lindemann-Weierstrass, and Manin maps

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Publication:2634642
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DOI10.2140/pjm.2016.281.51OpenAlexW3101263205MaRDI QIDQ2634642

Anand Pillay, Daniel Bertrand

Publication date: 18 February 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02012


zbMATH Keywords

differential Galois theoryalgebraic independence over function fieldsManin mapssemiabelian schemes


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Algebraic theory of abelian varieties (14K05) Results involving abelian varieties (11J95) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)


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Revisiting Manin's theorem of the kernel ⋮ SOME DEFINABLE GALOIS THEORY AND EXAMPLES ⋮ ENLARGED MIXED SHIMURA VARIETIES, BI-ALGEBRAIC SYSTEM AND SOME AX TYPE TRANSCENDENTAL RESULTS




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