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EMS surveys in mathematical sciences
Volume 8 (2021)
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Fuerteventura island volume
Fedor Bogomolov; Ivan Cheltsov;   Ivan Fesenko
p. 1-4

Generalised pairs in birational geometry
Caucher Birkar
p. 5-24

Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over $\mathbb{P}$(1, 2, 3)
Gavin D. Brown; Miles Reid; Jan Stevens
p. 25-38

Cylinders in Fano varieties
Ivan Cheltsov;   Jihun Park; Yuri Prokhorov; Mikhail Zaidenberg
p. 39-105

Class field theory, its three main generalisations, and applications
Ivan Fesenko
p. 107-133

Connective $K$-theory and Adams operations
Olivier Haution; Alexander Merkurjev  
p. 135-162

Integrable systems and Special Kähler metrics
Nigel Hitchin
p. 163-178

Ax’s theorem with an additive character
Ehud Hrushovski  
p. 179-216

Area in real K3-surfaces
Ilia Itenberg; Grigory Mikhalkin
p. 217-235

On non-commutative formal deformations of coherent sheaves on an algebraic variety
Yujiro Kawamata  
p. 237-263

K-stability of Fano varieties: an algebro-geometric approach
Chenyang Xu
p. 265-354
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