Abstract
We give evidence for a uniformization-type conjecture, that any algebraic variety can be altered into a variety endowed with a tower of smooth fibrations of relative dimension one.
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Acknowledgements
We are deeply grateful to Michael McQuillan for his interest in this work, and detailed criticism of its content. We would also like to thank Misha Gromov, for several insights and pleasant conversations.
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The second author acknowledges that the article was prepared within the framework of a subsidy granted to the HSE by the Government of the Russian Federation for the implementation of the Global Competitiveness Program. The second author was partially supported by EPSRC programme grant EP/M024830, Simons Fellowship and Simons travel grant.
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Buonerba, F., Bogomolov, F.A. Dominant classes of projective varieties. European Journal of Mathematics 4, 1412–1420 (2018). https://doi.org/10.1007/s40879-018-0262-9
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DOI: https://doi.org/10.1007/s40879-018-0262-9