D-affinity and rational varieties

Rumynin, Dmitriy

doi:10.4064/cm8085-1-2020

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D-affinity and rational varieties

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Rumynin, Dmitriy
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.4064/cm8085-1-2020
(Publisher version)

https://doi.org/10.48550/arXiv.1811.08612
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Citation

Rumynin, D. (2021). D-affinity and rational varieties. Colloquium Mathematicum, 164, 123-131. doi:10.4064/cm8085-1-2020.

Cite as: https://hdl.handle.net/21.11116/0000-0007-AE1D-6

Abstract

We investigate geometry of D-affine varieties. Our main result is that a
D-affine rational projective surface over an algebraically closed field is a
generalised flag variety of a reductive group.