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arXiv · 1812.03427

Around the uniform rationality I

Ilya Karzhemanov
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Abstract

We prove that there exist rational but not uniformly rational smooth algebraic varieties. The proof is based on computing a certain numerical obstruction developed in the case of compactifications of affine spaces. We show that for some particular compactifications this obstruction behaves differently compared to the uniformly rational situation.

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Ilya Karzhemanov. 2018-12-09. Around the uniform rationality I. https://arxiv.org/abs/1812.03427

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