Changements de variable pour un th`eme.
Algebraic Geometry
2010-04-08 v1 Complex Variables
Abstract
We study the behaviour of the notion of "thema", introduced in our previous article [B.09b], by a change of variable. We show not only that the fundamental invariants of such a thema, corresponding to the Bernstein polynomial, are stable by a change of variable, but also other numerical invariants called principal parameters. \\ We show on a rank 3 example that nevertheless the isomorphism class of a thema is not stable in general by a change of variable. We conclude in proving that a change of variable transforms an holomorphic family of thema in an holomorphic family. This implies that non principal parameters change holomorphically.
Keywords
Cite
@article{arxiv.1003.5070,
title = {Changements de variable pour un th`eme.},
author = {Daniel Barlet},
journal= {arXiv preprint arXiv:1003.5070},
year = {2010}
}