Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 152 / 2 / b / i

Table of contents
- Solution i

Solution

σ = Cone (e_{1}, e_{2}, e_{3})

and all its faces form the standard fan of affine three-space, so

U_{σ} ≅ A^{3} .

The complete target fan has primitive rays

f_{1}, qq u a d f_{2}, qq u a d - f_{1} - f_{2}

and every cone generated by a proper subset of them. This is the two-dimensional simplex fan, hence

X_{Σ} ≅ P^{2} .

 Ancestors (11)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version