Post a reply
Note:If not registered, provide any username. For more comfort, register here.
Message body:
Enter your message here, it may contain no more than 60000 characters. 

:D :) :( :o :shock: :? 8) :lol: :x :P :oops: :cry: :evil: :twisted: :roll: :wink: :!: :?: :idea: :arrow: :| :mrgreen:
Font size:
Font colour
BBCode is ON
[img] is ON
[flash] is OFF
[url] is ON
Smilies are ON
Disable BBCode
Disable smilies
Do not automatically parse URLs
Confirmation of post
To prevent automated posts the board requires you to enter a confirmation code. The code is displayed in the image you should see below. If you are visually impaired or cannot otherwise read this code please contact the %sBoard Administrator%s.
Confirmation code:
Enter the code exactly as it appears. All letters are case insensitive, there is no zero.

Topic review - Intersection Multiplicity of Hypersurfaces
Author Message
  Post subject:  Intersection Multiplicity of Hypersurfaces  Reply with quote
I am a Singular newbie.

Suppose the ambient polynomial ring is QQ[x0,...,xN] for QQ a field. How would one calculate the intersection multiplicity of a point in the variety of N curves h1,...,hN in QQ[x1,...,xN] at a point from Q x ... x Q.

This value is equivalent to the (vector) dimension of the local ring at p modulo <h1,...,hN>. In particular,
im( p, h1,...,hN ) = dim( {f/g : g(p) <> 0} / <h1,...,hN> );
Post Posted: Fri Jun 20, 2014 10:14 pm

It is currently Sun Dec 16, 2018 6:24 am
Powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group