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Hardcover ISBN:  9780821806623 
Product Code:  AMSIP/5 
List Price:  $71.00 
MAA Member Price:  $63.90 
AMS Member Price:  $56.80 
eBook ISBN:  9781470437961 
Product Code:  AMSIP/5.E 
List Price:  $67.00 
MAA Member Price:  $60.30 
AMS Member Price:  $53.60 
Hardcover ISBN:  9780821806623 
eBook ISBN:  9781470437961 
Product Code:  AMSIP/5.B 
List Price:  $138.00 $104.50 
MAA Member Price:  $124.20 $94.05 
AMS Member Price:  $110.40 $83.60 

Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 5; 1997; 342 ppMSC: Primary 14; 16; 32; 53; 57; 58
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 of Boston, Inc., Cambridge, MA.
ReadershipGraduate students, research mathematicians, physicists, and engineers interested in several complex variables and analytic spaces and algebraic geometry.

Table of Contents

Chapters

Embeddable CRstructures and deformations of pseudoconvex surfaces

Singular Milnor fibers and higher multiplicities for nonisolated complete intersections

Noncongruent number, odd graph and the BSD conjecture $y^2 = x^3  n^2x$

Multipolynomial invariants for plane algebraic curves

The weighted blowing ups of singularities with $\kappa = 0$

An algorithm to produce the structure sequence of arrangement

Complement of arrangement of hyperplanes

Value distribution theory of holomorphic curves into complex projective algebraic varieties and geometric Diophantine problems

The topology of complements to hypersurfaces and nonvanishing of a twisted deRham cohomology

The horohypercircle coordinates and their application to the construction of a heat kernel

Complete algebraic CR invariants of real codimension 3 strongly pseudoconvex CR manifolds

Gauge theory on resolutions of simple singularities and affine Lie algebras

On branch curves of algebraic surfaces

The Chern characters of surface with singularities

Residues of complex analytic foliations relative to singular invariant subvarieties

On $H^0$lemma and projective normality of line bundles on algebraic curves

A generalized ChernSimons formulas

On the singularity of the boundary of a convex domain admitting a noncompact automorphism group

Enumeration of combinations of rational double points on quartic surfaces

Stokes regions of a simple singularity

Schwarzian derivative of holomorphic mappings

Chern root algorithm and local index theorems

Notes on the codimensions of smooth mapgerms and the related results


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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 of Boston, Inc., Cambridge, MA.
Graduate students, research mathematicians, physicists, and engineers interested in several complex variables and analytic spaces and algebraic geometry.

Chapters

Embeddable CRstructures and deformations of pseudoconvex surfaces

Singular Milnor fibers and higher multiplicities for nonisolated complete intersections

Noncongruent number, odd graph and the BSD conjecture $y^2 = x^3  n^2x$

Multipolynomial invariants for plane algebraic curves

The weighted blowing ups of singularities with $\kappa = 0$

An algorithm to produce the structure sequence of arrangement

Complement of arrangement of hyperplanes

Value distribution theory of holomorphic curves into complex projective algebraic varieties and geometric Diophantine problems

The topology of complements to hypersurfaces and nonvanishing of a twisted deRham cohomology

The horohypercircle coordinates and their application to the construction of a heat kernel

Complete algebraic CR invariants of real codimension 3 strongly pseudoconvex CR manifolds

Gauge theory on resolutions of simple singularities and affine Lie algebras

On branch curves of algebraic surfaces

The Chern characters of surface with singularities

Residues of complex analytic foliations relative to singular invariant subvarieties

On $H^0$lemma and projective normality of line bundles on algebraic curves

A generalized ChernSimons formulas

On the singularity of the boundary of a convex domain admitting a noncompact automorphism group

Enumeration of combinations of rational double points on quartic surfaces

Stokes regions of a simple singularity

Schwarzian derivative of holomorphic mappings

Chern root algorithm and local index theorems

Notes on the codimensions of smooth mapgerms and the related results