Local dimension of differential algebraic variety

Details Local dimension of differential algebraic variety Local dimension of differential algebraic variety

2009-09-17

arxiv.org/abs/0909.3186v1

Mathematics

Commutative Algebra

20 pages

Scientific paper

We consider a relation between local and global characteristics of a
differential algebraic variety. We prove that dimension of tangent space for
every regular point of an irreducible differential algebraic variety coincides
with dimension of the variety. Additionally, we classify tangent spaces at
regular points in the case of one derivation.

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