Kirby, J ORCID: https://orcid.org/0000-0003-4031-9107
(2009)
The theory of the exponential differential equations of semiabelian varieties.
Selecta Mathematica, 15 (3).
pp. 445-486.
ISSN 1022-1824
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Abstract
The complete first-order theories of the exponential differential equations of semiabelian varieties are given. It is shown that these theories also arise from an amalgamation-with-predimension construction in the style of Hrushovski. The theories include necessary and sufficient conditions for a system of equations to have a solution. The necessary conditions generalize Ax’s differential fields version of Schanuel’s conjecture to semiabelian varieties. There is a purely algebraic corollary, the “Weak CIT” for semiabelian varieties, which concerns the intersections of algebraic subgroups with algebraic varieties.
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics |
Depositing User: | Users 2731 not found. |
Date Deposited: | 10 Oct 2011 13:11 |
Last Modified: | 26 Mar 2023 06:30 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/34969 |
DOI: | 10.1007/s00029-009-0001-7 |
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