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Several Complex Variables, Part 1
Edited by:
R. O. Wells, Jr.
Softcover ISBN:  9780821802496 
Product Code:  PSPUM/30.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893173 
Product Code:  PSPUM/30.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821802496 
eBook: ISBN:  9780821893173 
Product Code:  PSPUM/30.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 
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Several Complex Variables, Part 1
Edited by:
R. O. Wells, Jr.
Softcover ISBN:  9780821802496 
Product Code:  PSPUM/30.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893173 
Product Code:  PSPUM/30.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821802496 
eBook ISBN:  9780821893173 
Product Code:  PSPUM/30.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 30; 1977; 390 ppMSC: Primary 32
Text contains sections on Singularities of analytic spaces, Function theory and real analysis, Compact complex manifolds, Survey papers
This item is also available as part of a set: 
Table of Contents

Singularities of analytic spaces

Joseph Becker — Higher derivations and the ZariskiLipman conjecture [ MR 0444654 ]

N. Coleff and M. Herrera — Fibering of residual currents [ MR 0477128 ]

Robert Ephraim — Cartesian product structure of singularities [ MR 0444995 ]

Gerald Leonard Gordon — A geometric study of the monodromy of complex analytic surfaces [ MR 0450268 ]

Helmut A. Hamm — Remarks on asymptotic integrals, the polynomial of I. N. Bernstein and the PicardLefschetz monodromy [ MR 0590055 ]

Ulrich Karras — Deformations of cusp singularities [ MR 0472811 ]

Henry B. Laufer — On $\mu $ for surface singularities [ MR 0450287 ]

R. Mandelbaum and M. Schaps — Smoothing perfect varieties [ MR 0492402 ]

P. Orlik and R. Randell — The structure of weighted homogeneous polynomials [ MR 0447229 ]

H. C. Pinkham — Deformations of quotient surface singularities [ MR 0447240 ]

H. C. Pinkham — Simple elliptic singularities, Del Pezzo surfaces and Cremona transformations [ MR 0441969 ]

Oswald Riemenschneider — Simultaneous resolutions of singularities [ MR 0444998 ]

John Stutz — Equisingularity and local analytic geometry [ MR 0492385 ]

Günther Trautmann — Deformations of coherent analytic sheaves with isolated singularities [ MR 0454073 ]

Jonathan M. Wahl — Local cohomology groups for resolutions of singularities [ MR 0447232 ]

Principal lecture 1

Masatake Kuranishi — Application of $\overline \partial _b$ to deformation of isolated singularities [ MR 0454072 ]

Function theory and real analysis

Eric Bedford and B. A. Taylor — The Dirichlet problem for a complex MongeAmpère equation [ MR 0457775 ]

Thomas Bloom — Type conditions for real submanifolds of $C^n$ [ MR 0445010 ]

R. R. Coifman, R. Rochberg and Guido Weiss — Factorization theorems for Hardy spaces of complex spheres

M. Derridj — Gevrey regularity up to the boundary for the $\overline \partial $ Neumann problem [ MR 0440212 ]

Klas Diederich — Some recent developments in the theory of the Bergman kernel function: a survey [ MR 0442295 ]

David Ellis and C. Denson Hill — The maximum modulus principle for $CR$ functions on smooth real embedded submanifolds of $C^n$ [ MR 0444991 ]

Michael Freeman — Real submanifolds with degenerate Levi form [ MR 0457767 ]

Ian Graham — Boundary behaviour of the Carathéodory and Kobayashi metrics [ MR 0454070 ]

C. Denson Hill and Michael Kazlow — Function theory on tube manifolds [ MR 0454058 ]

L. R. Hunt — A uniqueness theory for the induced CauchyRiemann operator [ MR 0440068 ]

N. Kerzman — A MongeAmpère equation in complex analysis [ MR 0454082 ]

Garo K. Kiremidjian — CR structures and their extensions [ MR 0457788 ]

Mario Landucci — Uniform bounds on derivatives for the $\overline \partial $problem in the polydisk [ MR 0442288 ]

Paul Malliavin — Diffusion estimates in complex analysis [ MR 0488189 ]

John C. Polking and R. O. Wells, Jr. — Hyperfunction boundary values and a generalized BochnerHartogs theorem [ MR 0442280 ]

Linda Preiss Rothschild — Parametrices for the boundary Laplacian and related hypoelliptic differential operators [ MR 0442454 ]

David S. Tartakoff — On the global real analycity of solutions to $\square _b$ on compact manifolds

Principal lecture 2

J. J. Kohn — Methods of partial differential equations in complex analysis [ MR 0477156 ]

Compact complex manifolds

Lawrence Brenton and James A. Morrow — Compactifying $C^n$ [ MR 0454083 ]

Jérôme Brun — On the cancellation problem for compact complexanalytic manifolds [ MR 0454052 ]

J. B. Carrell and D. I. Lieberman — Vector fields, Chern classes, and cohomology [ MR 0460734 ]

Pierre Dolbeault and Jean Poly — Differential forms with subanalytic singularities; integral cohomology; residues [ MR 0457770 ]

Ludger Kaup and Gottfreid Barthel — On the homotopy type of weighted homogeneous normal complex surfaces

David Lieberman — Holomorphic vector fields on projective varieties [ MR 0454086 ]

R. Mandelbaum and B. Moishezon — The topological type of algebraic surfaces: Hypersurfaces in $\mathbf {P}^3(\mathbf {C})$

Edoardo Sernesi — $L$dimension and deformations [ MR 0445012 ]

Andrew John Sommese — On ample divisors [ MR 0445018 ]

Tatsuo Suwa — Compact quotients of $C^3$ by affine transformation groups [ MR 0454092 ]

John J. Wavrik — Deformations and analytic equations [ MR 0454071 ]

Steven Zucker — Intermediate Jacobians and the Hodge conjecture for cubic fourfolds [ MR 0444658 ]

Principal lecture 3

Reese Harvey — Holomorphic chains and their boundaries [ MR 0447619 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Volume: 30; 1977; 390 pp
MSC: Primary 32
Text contains sections on Singularities of analytic spaces, Function theory and real analysis, Compact complex manifolds, Survey papers
This item is also available as part of a set:

Singularities of analytic spaces

Joseph Becker — Higher derivations and the ZariskiLipman conjecture [ MR 0444654 ]

N. Coleff and M. Herrera — Fibering of residual currents [ MR 0477128 ]

Robert Ephraim — Cartesian product structure of singularities [ MR 0444995 ]

Gerald Leonard Gordon — A geometric study of the monodromy of complex analytic surfaces [ MR 0450268 ]

Helmut A. Hamm — Remarks on asymptotic integrals, the polynomial of I. N. Bernstein and the PicardLefschetz monodromy [ MR 0590055 ]

Ulrich Karras — Deformations of cusp singularities [ MR 0472811 ]

Henry B. Laufer — On $\mu $ for surface singularities [ MR 0450287 ]

R. Mandelbaum and M. Schaps — Smoothing perfect varieties [ MR 0492402 ]

P. Orlik and R. Randell — The structure of weighted homogeneous polynomials [ MR 0447229 ]

H. C. Pinkham — Deformations of quotient surface singularities [ MR 0447240 ]

H. C. Pinkham — Simple elliptic singularities, Del Pezzo surfaces and Cremona transformations [ MR 0441969 ]

Oswald Riemenschneider — Simultaneous resolutions of singularities [ MR 0444998 ]

John Stutz — Equisingularity and local analytic geometry [ MR 0492385 ]

Günther Trautmann — Deformations of coherent analytic sheaves with isolated singularities [ MR 0454073 ]

Jonathan M. Wahl — Local cohomology groups for resolutions of singularities [ MR 0447232 ]

Principal lecture 1

Masatake Kuranishi — Application of $\overline \partial _b$ to deformation of isolated singularities [ MR 0454072 ]

Function theory and real analysis

Eric Bedford and B. A. Taylor — The Dirichlet problem for a complex MongeAmpère equation [ MR 0457775 ]

Thomas Bloom — Type conditions for real submanifolds of $C^n$ [ MR 0445010 ]

R. R. Coifman, R. Rochberg and Guido Weiss — Factorization theorems for Hardy spaces of complex spheres

M. Derridj — Gevrey regularity up to the boundary for the $\overline \partial $ Neumann problem [ MR 0440212 ]

Klas Diederich — Some recent developments in the theory of the Bergman kernel function: a survey [ MR 0442295 ]

David Ellis and C. Denson Hill — The maximum modulus principle for $CR$ functions on smooth real embedded submanifolds of $C^n$ [ MR 0444991 ]

Michael Freeman — Real submanifolds with degenerate Levi form [ MR 0457767 ]

Ian Graham — Boundary behaviour of the Carathéodory and Kobayashi metrics [ MR 0454070 ]

C. Denson Hill and Michael Kazlow — Function theory on tube manifolds [ MR 0454058 ]

L. R. Hunt — A uniqueness theory for the induced CauchyRiemann operator [ MR 0440068 ]

N. Kerzman — A MongeAmpère equation in complex analysis [ MR 0454082 ]

Garo K. Kiremidjian — CR structures and their extensions [ MR 0457788 ]

Mario Landucci — Uniform bounds on derivatives for the $\overline \partial $problem in the polydisk [ MR 0442288 ]

Paul Malliavin — Diffusion estimates in complex analysis [ MR 0488189 ]

John C. Polking and R. O. Wells, Jr. — Hyperfunction boundary values and a generalized BochnerHartogs theorem [ MR 0442280 ]

Linda Preiss Rothschild — Parametrices for the boundary Laplacian and related hypoelliptic differential operators [ MR 0442454 ]

David S. Tartakoff — On the global real analycity of solutions to $\square _b$ on compact manifolds

Principal lecture 2

J. J. Kohn — Methods of partial differential equations in complex analysis [ MR 0477156 ]

Compact complex manifolds

Lawrence Brenton and James A. Morrow — Compactifying $C^n$ [ MR 0454083 ]

Jérôme Brun — On the cancellation problem for compact complexanalytic manifolds [ MR 0454052 ]

J. B. Carrell and D. I. Lieberman — Vector fields, Chern classes, and cohomology [ MR 0460734 ]

Pierre Dolbeault and Jean Poly — Differential forms with subanalytic singularities; integral cohomology; residues [ MR 0457770 ]

Ludger Kaup and Gottfreid Barthel — On the homotopy type of weighted homogeneous normal complex surfaces

David Lieberman — Holomorphic vector fields on projective varieties [ MR 0454086 ]

R. Mandelbaum and B. Moishezon — The topological type of algebraic surfaces: Hypersurfaces in $\mathbf {P}^3(\mathbf {C})$

Edoardo Sernesi — $L$dimension and deformations [ MR 0445012 ]

Andrew John Sommese — On ample divisors [ MR 0445018 ]

Tatsuo Suwa — Compact quotients of $C^3$ by affine transformation groups [ MR 0454092 ]

John J. Wavrik — Deformations and analytic equations [ MR 0454071 ]

Steven Zucker — Intermediate Jacobians and the Hodge conjecture for cubic fourfolds [ MR 0444658 ]

Principal lecture 3

Reese Harvey — Holomorphic chains and their boundaries [ MR 0447619 ]
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