Local Weierstrass preparation

Question

I could not find a reference of the local version of Weierstrass preparation theorem It is used for example in Denef & van den Dries "$p$-adic and real subanalytic sets". Can you help, thank you

score 3 · Accepted Answer · answered Oct 01 '11 at 14:36

3

See '$p$-adic numbers, $p$-adic analysis, and zeta-functions' by Koblitz. Chapter IV sections 3 and 4 have a good exposition on newton polygons and the Weierstrass preparation theorem.

answered Oct 01 '11 at 14:36

jspecter

8,152

What I need more precisely is the statment and proof of LOCAL weierstrass preparation. I did not find that in Koblitz's book. – Oct 10 '11 at 16:46

score -1 · Answer 2 · edited Sep 29 '15 at 20:53

-1

A good elementary proof of the Weierstrass preparation theorem can be found in the Jun-ichi Igusa's An introduction to the theory of Local Zeta Functions (Google books link).

See Chapter 2, section 2.3.

edited Sep 29 '15 at 20:53

user642796

52,188

answered Apr 02 '14 at 19:03

Ed L

9

Local Weierstrass preparation

2 Answers2