The theory of the exponential differential equations of semiabelian varieties
Kirby, J (2009) The theory of the exponential differential equations of semiabelian varieties. Selecta Mathematica, 15 (3). pp. 445-486. ISSN 1022-1824
![]()
|
PDF (The_theory_of_the_exponential_differential.pdf)
Download (57kB) | Preview |
|
![]()
|
PDF (tedesv_selecta)
- Accepted Version
Download (354kB) | Preview |
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 |
---|---|
Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | Users 2731 not found. |
Date Deposited: | 10 Oct 2011 13:11 |
Last Modified: | 11 May 2022 00:09 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/34969 |
DOI: | 10.1007/s00029-009-0001-7 |
Actions (login required)
![]() |
View Item |