The theory of the exponential differential equations of semiabelian varieties

Details The theory of the exponential differential equations of semiabelian varieties The theory of the exponential differential equations of semiabelian varieties

2007-08-09

arxiv.org/abs/0708.1352v3

Selecta Mathematica 15, (2009) no. 3, 445--486

Mathematics

Algebraic Geometry

53 pages; v3: Substantial changes, including a completely new introduction

Scientific paper

10.1007/s00029-009-0001-7

The complete first order theories of the exponential differential equations of semiabelian varieties are given. It is shown that these theories also arises from an amalgamation-with-predimension construction in the style of Hrushovski. The theory includes necessary and sufficient conditions for a system of equations to have a solution. The necessary condition generalizes 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.

Affiliated with

Also associated with

No associations

Rating

The theory of the exponential differential equations of semiabelian varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The theory of the exponential differential equations of semiabelian varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The theory of the exponential differential equations of semiabelian varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46279