AMS/IP Studies in Advanced Mathematics 1997; 342 pp; hardcover Volume: 5 ISBN10: 0821806629 ISBN13: 9780821806623 List Price: US$60 Member Price: US$48 Order Code: AMSIP/5
 This book represents the proceedings of the joint U.S.China Seminar on Singularity and Complex Geometry held at the Institute of Mathematics of the Chinese Academy, Beijing, in June 1994. This was the first gathering of Chinese and American mathematicians working in these fields (several Japanese mathematicians also took part). The volume covers a wide range of problems in areas such as CRmanifolds, value distribution theory of holomorphic curves, topology of the complements of algebraic plane curves with singularities and arrangements, topology of nonisolated singularities, gauge theory on resolutions of simple singularities, and residues of foliations. The articles give accounts of research in these fast developing areas. Much of the material appears here for the first time in print. Titles in this series are copublished with International Press, Cambridge, MA. Readership Graduate students, research mathematicians, physicists, and engineers interested in several complex variables and analytic spaces and algebraic geometry. Table of Contents  J. Bland and C. L. Epstein  Embeddable CRstructures and deformations of pseudoconvex surfaces
 J. N. Damon  Singular Milnor fibers and higher multiplicities for nonisolated complete intersections
 K. Feng  Noncongruent number, odd graph and the BSD conjecture \(Y^2 = X^3  n^2X\)
 E. Hironaka  Multipolynomial invariants for plane algebraic curves
 S. Ishii  The weighted blowing ups of singularities with \(\kappa = 0\)
 G. Jiang and J. Feng  An algorithm to produce the structure sequence of arrangement
 T. Jiang and S. S.T. Yau  Complement of arrangement of hyperplanes
 R. Kobayashi  Value distribution theory of holomorphic curves into complex projective algebraic varieties and geometric Diophantine problems
 A. Libgober  The topology of complements to hypersurfaces and nonvanishing of a twisted deRham cohomology
 Q. Lu  The Horohypercircle coordinates and their application to the construction of a heat kernel
 H. S. Luk and S. S.T. Yau  Complete algebraic CR invariants of real codimension 3 strongly pseudoconvex CR manifolds
 H. Nakajima  Gauge theory on resolutions of simple singularities and affine Lie algebras
 A. Robb  On branch curves of algebraic surfaces
 H. Shi  The Chern characters of surface with singularities
 T. Suwa  Residues of complex analytic foliations relative to singular invariant subvarieties
 X.J. Tan  On \(H^0\)lemma and projective normality of line bundles on algebraic curves
 S. Wang  A generalized ChernSimons formulas
 B. Wong  On the singularity of the boundary of a convex domain admitting a noncompact automorphism group
 J.G. Yang  Enumeration of combinations of rational double points on quartic surfaces
 J. Yu  Stokes regions of a simple singularity
 Q. Yu, S. Gong, and X. Guo  Schwarzian derivative of holomorphic mappings
 Y. Yu  Chern root algorithm and local index theorems
 G. Zhang  Notes on the codimensions of smooth mapgerms and the related results
