Algebraic Geometry in East Asia: Hanoi 2005Kazuhiro Konno, Viet Nguyen-Khac 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 |
Contents
Introduction | 10 |
Alexander invariants | 36 |
Nonabelian branched coverings and Zariski pairs | 59 |
Copyright | |
9 other sections not shown
Common terms and phrases
abelian affine Alexander polynomials algebra gw associated automorphism B₁ base point free birational braid group braid monodromy factorization bundle C₁ Cartan coefficients combinatorial conic corresponding curve D₁ D2n-covering defined Definition denote diagram divisor double covering dual duality elliptic fibration elliptic parameter equation equivalent Example exists exponents fiber finite fundamental group G-orbit genus geometry given Hence HMF fw homogeneous homomorphism hyperplane hypersurface induces integer intersection invariant irreducible components isomorphic K3 surfaces lattice Lemma linear Math matrix maximal meridians morphism Note obtain pencil plane primitive form projective Proof Proposition regular system Remark simple Lie algebra simple singularity singular point smooth space subscheme surface system of weights Theorem theory topology transformation triangle triangulated category vanishing cycles vector Weierstrass equation weight system Weyl group X₁ Zariski pairs