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D-affinity and rational varieties

Volume 164 / 2021

Dmitriy Rumynin Colloquium Mathematicum 164 (2021), 123-131 MSC: Primary 16S32; Secondary 14M20. DOI: 10.4064/cm8085-1-2020 Published online: 31 August 2020

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.

Authors

  • Dmitriy RumyninDepartment of Mathematics
    University of Warwick
    Coventry, CV4 7AL, UK
    and
    Laboratory of Algebraic Geometry
    National Research University Higher School of Economics
    Russia
    e-mail

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