Hi all
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In this the following link(http://www.math.leidenuniv.nl/scripties/Trevisan.pdf), , Corollary 3.2.2, page 59 the author claims that: *The Euler characteristic of the toric variety $X_K$ associated to a convex polytope $K$ is the number of vertices of $K$*.K$.
I want to see how it works, could some one . Could someone please illustrate this for me by using this method to compute the Euler characteristic of $\mathbb{P}^{2}$ and $\mathbb{P}^{1}\times \mathbb{P}^{1}$. thanks mathbb{P}^{1}$? Thanks so much.
