Timeline for polynomial maps

8 events

when toggle format	what		by	license	comment
Dec 19, 2011 at 1:42	comment	added	Boris Novikov		@ Jacques: Thank you. I know what is Grobner basis. What I needed, was a reference with cofactors. Now I will parse.
Dec 19, 2011 at 1:14	comment	added	Jacques Carette		@Boris: added links for all the important parts. If you don't already know about Groebner bases, you're better off reading the Wikipedia entry than having me try to expand my answer into a tutorial on the topic.
Dec 19, 2011 at 1:12	history	edited	Jacques Carette	CC BY-SA 3.0	add links with details
Dec 19, 2011 at 0:22	comment	added	Boris Novikov		@ Jacques Carette - Your answer is too laconic for me
Dec 18, 2011 at 16:39	comment	added	Angelo		To Mahdi: or, more geometrically, notice that if some $f_i$ had no term of degree, the differential of the polynomial map given by the $f_i$ would would vanish at some point.
Dec 18, 2011 at 16:29	comment	added	Jacques Carette		@Mahdi: yes on both counts. Easy proof by contradiction and combinatorics -- just look at the (total) degrees of each term in the result.
Dec 18, 2011 at 16:12	comment	added	Mahdi Majidi-Zolbanin		Is it true then, that every $f_i$ and every $g_i$ must have a degree $1$ term?
Dec 18, 2011 at 16:01	history	answered	Jacques Carette	CC BY-SA 3.0