New answers tagged birational-geometry
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Sequence of MMP with scaling cannot be isomorphism
I realized how to solve this problem now. As pointed above, we may assume each step of MMP is a flip. For $i<j$, We can choose an exceptional divisor $E$ over $X_i$ such that its center lies in the ...
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Motives and birational invariance
This is probably not the kind of example you are looking for, but you can get an example with Artin motives using rational coefficients and $\mathbb{Q}$ as the base field.
Let $K/\mathbb{Q}$ be a ...
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Every elliptic surface contains only finitely many negative self-intersection rational curves?
I am just posting my comment as one answer. Let $\varpi:Z\to \mathbb{P}^1$ be the rational elliptic surface obtained by blowing up the projective plane along base locus of a general pencil of plane ...
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