Abstract
We discuss uniruledness criteria on higher-dimensional varieties and their applications.
Mathematics Subject Classification codes (2010): 14F10, 14C20
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Notes
- 1.
Quasi-étale = finite and étale in codimension one.
- 2.
Höring has independently obtained similar results, [12].
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Acknowledgements
The author would like to thank the organisers and the Simons Foundation for an unusually fruitful conference week. He would like to thank the other participants for countless discussions and exchange of ideas. Clemens Jörder and Patrick Graf have kindly read a first version of this paper.
The author was supported in part by the DFG-Forschergruppe 790 “Classification of Algebraic Surfaces and Compact Complex Manifolds”.
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Kebekus, S. (2013). Uniruledness Criteria and Applications. In: Bogomolov, F., Hassett, B., Tschinkel, Y. (eds) Birational Geometry, Rational Curves, and Arithmetic. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6482-2_7
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