Dolgachev-Weisfeiler conjecture over affine space

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Let X→AmX\to \mathbb{A}^m be an An\mathbb{A}^n-fibration, meaning that every fibre is isomorphic to An\mathbb{A}^n. Dolgachev-Weisfeiler conjecture. The fibration is isomorphic to the trivial fibration

Am×An→Am.\mathbb{A}^m\times \mathbb{A}^n\to \mathbb{A}^m.

This is the affine-space reformulation of the Dolgachev-Weisfeiler conjecture, using that affine-space vector bundles are trivial. Its status is not specified for this formulation in the supplied candidate metadata.

References

Primary source

Jérémy Blanc and Pierre-Marie Poloni, “Bivariables and Vénéreau polynomials”, arXiv:2004.10739 (2020).

Additional references

2 papers in this index state this conjecture (2013–2020). The statement above is taken from the most recent of them; the others are arXiv:1304.1765.

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