edited by JongHae Keum (Korea Institute for Advanced Study), Shigeyuki Kondō (Nagoya University), Kazuhiro Konno (Osaka University), & Keiji Oguiso (Osaka University)

The international conference “Algebraic Geometry in East Asia, III” was held at the Korea Institute for Advanced Study in Seoul, Korea in November 2008. The 21 invited lectures (including 4 lectures by Europeans and Americans) were presented at the conference.

This volume consists of 3 survey articles and 10 research articles. The papers explore a wide variety of topics, including algebraic surfaces, Fano varieties, variety of general type, bundles, Cremona groups, Mordell-Weil groups, fundamental group scheme, quantum rings.

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

• Survey Articles:
  • Finite Subgroups of the Plane Cremona Group (Igor V Dolgachev)
  • Elliptic Surfaces (Matthias Schütt & Tetsuji Shioda)
  • Frobenius Morphism and Semi-Stable Bundles (Xiaotao Sun)
• Research Articles:
  • Automorphisms of an Irregular Surface with Low Slope Acting Trivially in Cohomology (Jin-Xing Cai)
  • On Fano Varieties with Large Pseudo-Index (Jiun-Cheng Chen)
  • On Pluricanonical Systems of Algebraic Varieties of General Type (Men Chen)
  • Two Small Remarks on Nori Fundamental Group Scheme (Hélène Esnault & Phùng Hô Hai)
  • Projective Surfaces with Many Nodes (JonHae Keum)
  • Complex Structure on the Rational Blowdown of Sections in E(4) (Yongnam Lee)
  • Quantum Invariance under ℙ¹ Flops of Type (κ + 2, κ) (Hui-Wen Lin)
  • Separable Endomorphisms of Surfaces in Positive Characteristic (Noboru Nakayama)
  • The Third Smallest Salem Number in Automorphisms of K3 Surfaces (Keiji Oguiso)
  • Topology of Curves on a Surface and Lattice-Theoretic Invariants of Coverings of the Surface (Ichiro Shimada)