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 four lectures by Europeans and Americans) were presented at the conference.

This volume consists of three 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, and quantum rings.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Readership

Graduate students and research mathematicians interested in algebraic geometry.

Table of Contents

• I. V. Dolgachev -- Finite subgroups of the plane Cremona group
• M. Schütt and T. Shioda -- Elliptic surfaces
• X. Sun -- Frobenius morphism and semi-stable bundles

• J.-X. Cai -- Automorphisms of an irregular surface with low slope acting trivially in cohomology
• J. -C. Chen -- On Fano varieties with large pseudo-index
• M. Chen -- On pluricanonical systems of algebraic varieties of general type
• H. Esnault and P. H. Hai -- Two small remarks on Nori fundamental group scheme
• J. Keum -- Projective surfaces with many nodes
• Y. Lee -- Complex structure on the rational blowdown of sections in \(E(4)\)
• H. -W. Lin -- Quantum invariance under \(\mathbb{P}^1\) flops of type \((k + 2, k)\)
• N. Nakayama -- Separable endomorphisms of surfaces in positive characteristic
• K. Oguiso -- The third smallest Salem number in automorphisms of K3 surfaces
• I. Shimada -- Topology of curves on a surface and lattice-theoretic invariants of coverings of the surface