Algebraic Curves ( on understanding this proof)

Click For Summary

Homework Help Overview

The discussion revolves around understanding a proof related to algebraic curves, specifically addressing the implications of setting G=0 in a mathematical context. The original poster expresses confusion regarding the contradiction that arises from this condition, particularly in relation to the non-constant nature of F.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions the reasoning behind the contradiction of G=0 and its implications for F. They seek alternative proofs for the initial part of the problem and reference a related problem that demonstrates a specific condition involving F and an infinite field.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the original poster's questions. There is an acknowledgment of the need for further clarification and alternative proofs, indicating a productive direction in the inquiry.

Contextual Notes

Participants are also addressing technical issues related to the presentation of the problem, specifically the size of a scanned image that contains the problem statement.

Firepanda
Messages
425
Reaction score
0
15hetee.png


I don't get why G=0 is a contradiction. Does it imply F=0, which cannot be true since the question stated F is non constant?

Can anyone give me another proof for this first part please? As the step he made to get G would have been something I would never have thought of.

By the way problem 1.4 showed that if F(P) = 0 for all P then F = 0 when k is an infinite field.
 
Last edited:
Physics news on Phys.org
Your scanned image is too big, at 1503 x 772 pixels. Please shrink it to no larger than about 1000 x 600 or so, so that we can read the problem without having to scroll off to the right.
Thanks
 
Is that better?
 
Better, yes, but could you shrink it a bit more? 800 x 400 would be about right.
Thanks!
 
800x400 now!
 

Similar threads

  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
8
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
9
Views
3K