1
$\begingroup$

Possible Duplicate:
Reference for Algebraic Geometry

I'm rather clueless about this exercise. What is a Zariski closure? What topics/books should I read on to gain some knowledge on solving akin exercises? (I don't want help in solving the exercise)

Exercise:

Let $Z$ be the Zariski closure in $A^4$ of the set $\lbrace (n, 2^n, 3^n, 6^n)\rbrace$, for $n \in \mathbb{N}$.

What dimension does $Z$ have on $\mathbb{C}$? Find generators for its ideal in $\mathbb{C}[X_1, X_2, X_3, X_4]$.

  • 0
    well I had heard that the Zariski topology was an algebraic geometry topic, so I suspected the Zariski closure had something to do with it, that's why I thought of tagging it. Of course this is not allways the case, so I was not sure I would find what I needed on an algebraic geometry te$x$t (i.e. there are topics with similar names but with totally different content, for e$x$ample Gauss' Lemma)2011-07-26

0 Answers 0