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math.AGAug 1, 2021
1
citations (OpenAlex)
authors
  • Yuri Prokhorov
arXiv abstractPDF
paper

Finite groups of birational transformations

arXiv:2108.13325

Abstract

We survey new results on finite groups of birational transformations of algebraic varieties.

arXiv commentLatex, 16 pages. For the Proceedings of the 8th ECM, a few typos are corrected, an example was added

References in corpus (17)

  • Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
  • On G-Fano threefolds
  • Simple finite subgroups of the Cremona group of rank 3
  • Normal subgroups in the Cremona group (long version)
  • Gushel--Mukai varieties: classification and birationalities
  • Birational involutions of P^2
  • Quotients of higher dimensional Cremona groups
  • Singular Fano threefolds of genus 12
  • 2-elementary subgroups of the space Cremona group
  • The Jordan property for local fundamental groups
  • Fixed point theorems involving numerical invariants
  • Equivariant birational types and Burnside volume
  • Equivariant birational geometry and modular symbols
  • Fixed points of group actions and rational maps
  • Symbols and equivariant birational geometry in small dimensions
  • Standard models of degree 1 del Pezzo fibrations
  • Finite quasisimple groups acting on rationally connected threefolds

Cited by in corpus (1)

  • Tits-type alternative for certain groups acting on algebraic surfaces
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