Recent Developments in Algebraic Geometry
To Miles Reid for his 70th Birthday

Written to honour Miles Reid's 70th birthday, this volume covers a broad range of contemporary research, both concrete and theoretical.

Hamid Abban (Edited by), Gavin Brown (Edited by), Alexander Kasprzyk (Edited by), Shigefumi Mori (Edited by)

9781009180856, Cambridge University Press

Paperback / softback, published 3 November 2022

300 pages
22.8 x 15.2 x 2 cm, 0.54 kg

Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.

Happy Birthday Hamid Abban, Gavin Brown, Alexander Kasprzyk, Shigefumi Mori
1. On stable cohomology of central extensions of elementary abelian groups Fedor Bogomolov, Christian Böhning, Alena Pirutka
2. On projective 3-folds of general type with p_g = 2 Meng Chen, Yong Hu, Matteo Penegini
3. 15-nodal quartic surfaces. Part I: quintic del Pezzo surfaces and congruences of lines in P^3 Igor V. Dolgachev
4. Mori flips, cluster algebras and diptych varieties without unprojection Tom Ducat
5. The mirror of the cubic surface Mark Gross, Paul Hacking, Sean Keel, Bernd Siebert
6. Semi-orthogonal decomposition of a derived category of a 3-fold with an ordinary double point Yujiro Kawamata
7. Duality and normalization, variations on a theme of Serre and Reid János Kollár, Hailong Dao
8. Rationality of Q-Fano threefolds of large Fano index Yuri Prokhorov
9. An exceptional locus in the perfect compacti cation of A_g Nicholas Shepherd-Barron, John Armstrong
10. Variation of stable Birational types of Hypersurfaces Evgeny Shinder, Claire Voisin
11. Triangle varieties and surface decomposition of hyper-Kähler manifolds Claire Voisin.

Subject Areas: Topology [PBP], Algebraic geometry [PBMW], Geometry [PBM], Functional analysis & transforms [PBKF]