Minimal Models and Extremal Rays (Kyoto, 2011)

Since the appearance of extremal rays and the minimal model program around 1980, we have seen the tremendous development of Algebraic Geometry. With this in mind, the conference "Minimal Models and Extremal Rays" was held at RIMS Kyoto University in June 2011. The purpose was to review the past, examine the present and enjoy discussing the future. This volume is the outcome of this conference and consists of one survey article on the mathematical work of Professor Shigefumi Mori, who turned sixty in 2011, and thirteen research papers given by the authors: L Ein-S Ishii-M Mustata, J Kollár, S Kovács-K Schwede, D Greb-S Kebekus-T Peternell, H Kawanoue-K Matsuki, A-S Kaloghiros-A Kuronya-V Lazic, J-M Hwang-K Oguiso, M Lehn-Y Namikawa-Ch Sorger-D van Straten, O Fujino, J Chen, C Hacon-C Xu, S Mukai, Y Prokhorov-M Reid.

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

• Survey Article:
  • The Mathematical Works of Shigefumi Mori (János Kollár)
• Research Articles:
  • Multiplier Ideals via Mather Discrepancy (Lawrence Ein, Shihoko Ishii and Mircea Mustaţǎ)
  • Sources of Log Canonical Centers (János Kollár)
  • Du Bois Singularities Deform (Sándor J Kovács and Karl Schwede)
  • Singular Spaces with Trivial Canonical Class (Daniel Greb, Stefan Kebekus and Thomas Peternell)
  • Resolution of Singularities of an Idealistic Filtration in Dimension 3 after Benito-Villamayor (Hiraku Kawanoue and Kenji Matsuki)
  • Finite Generation and Geography of Models (Anne-Sophie Kaloghiros, Alex Küronya & Vladimir Lazić)
  • Local Structure of Principally Polarized Stable Lagrangian Fibrations (Jun-Muk Hwang and Keiji Oguiso)
  • On Symplectic Hypersurfaces (Manfred Lehn, Yoshinori Namikawa, Christoph Sorger and Duco van Straten)
  • Vanishing Theorems (Osamu Fujino)
  • Explicit Resolution of Three Dimensional Terminal Singularities (Jungkai Alfred Chen)
  • On Finiteness of B-Representations and Semi-Log Canonical Abundance (Christopher D Hacon & Chenyang Xu)
  • K3 Surfaces of Genus Sixteen (Shigeru Mukai)
  • On ℚ-Fano Threefolds of Fano Index 2 (Yuri Prokhorov & Miles Reid)