- #1
Kalidor
- 68
- 0
Trivial (!?) alg. geometry problem
Consider Y=Q_1,Q_2,\ldots,Q_r \subset \mathbb{A}^n, a finite set of r different points. What are the generators of the ideal I(Y)
Knowing that I(Q_i)=(X_1-Q_{i,1},\ldots,X_n-Q_{i,n}) and so on, my guess would be that the solution is something like
(\prod_{k=1}^r f_{k,i}), 1 \leq i \leq n with f_{k,i} \in I(Q_k)
It seems kind of messed. Any ideas?
Homework Statement
Consider Y=Q_1,Q_2,\ldots,Q_r \subset \mathbb{A}^n, a finite set of r different points. What are the generators of the ideal I(Y)
The Attempt at a Solution
Knowing that I(Q_i)=(X_1-Q_{i,1},\ldots,X_n-Q_{i,n}) and so on, my guess would be that the solution is something like
(\prod_{k=1}^r f_{k,i}), 1 \leq i \leq n with f_{k,i} \in I(Q_k)
It seems kind of messed. Any ideas?