edited by Kazuhiro Konno (Osaka University, Japan) & Viet Nguyen-Khac (Vietnam Information Security Lab., Vietnam)

This volume is the outcome of the conference “Algebraic Geometry in East Asia. II” which was held at the Conference Hall (Hanoi, Vietnam) during October 10 – October 14, 2005. It collects two survey articles and eight research articles contributed by the invited lecturers. Topics touched upon in this volume include: Zariski pairs, rational homogeneous manifolds, Kummer surfaces, singularity theory, Cremona groups, algebraic curves, dual varieties, Castelnuovo–Weil lattices and so on. The reader can not only find the current status of a variety of research topics but also enjoy the art of the subjects by leading algebraic geometers.

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

• A Survey on Zariski Pairs (E A Bartolo, J Cogolludo & H Tokunaga)
• Towards a Categorical Construction of Lie Algebras (K Saito)
• Elliptic Parameters and Defining Equations for Elliptic Fibrations on a Kummer Surface (M Kuwata & T Shioda)
• Characterization of the Rational Homogeneous Space Associated to a Long Simple Root by Its Variety of Minimal Rational Tangents (J Hong & J-M Hwang)
• Maximal Divisorial Sets in Arc Spaces (S Ishii)
• Two Non-Conjugate Embeddings of S₃ x ℤ₂ into the Cremona Group II (V A Iskovskikh)
• On the Castelnuovo–Severi Inequality for a Double Covering (C Keem & A Ohbuchi)
• Poincaré Polynomial of a Class of Signed Complete Graphic Arrangements (G Jiang, J Yu & J Zhang)
• Singularities of Dual Varieties in Characteristic 2 (I Shimada)
• On the Castelnuovo–Weil Lattices, I (V Nguyen-Khac & T Shioda)