**Proceedings of Symposia in Pure Mathematics**

Volume: 30;
1977;
390 pp;
Softcover

MSC: Primary 32;

**Print ISBN: 978-0-8218-0249-6
Product Code: PSPUM/30.1**

List Price: $79.00

AMS Member Price: $63.20

MAA Member Price: $71.10

**Electronic ISBN: 978-0-8218-9317-3
Product Code: PSPUM/30.1.E**

List Price: $74.00

AMS Member Price: $59.20

MAA Member Price: $66.60

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# Several Complex Variables, Part 1

Share this page *Edited by *
*R. O. Wells, Jr.*

# Table of Contents

## Several Complex Variables, Part 1

- Contents iii4 free
- Preface vii8 free
- Singularities of Analytic Spaces 112 free
- Higher derivations and the Zariski-Iipman conjecture 314
- Fibering of residual currents 1122
- Cartesian product structure of singularities 2132
- A geometric study of the monodromy of complex analytic surfaces 2536
- Remarks on asymptotic integrals, the polynomial of I. N. Bernstein and the Picard-Lefschetz monodromy 3142
- Deformations of cusp singularities 3748
- On μ for surface singularities 4556
- Smoothing perfect varieties 5162
- The structure of weighted homogeneous polynomials. 5768
- Deformations of quotient surface singularities 6576
- Simple elliptic singularities, Del Pezzo surfaces and Cremona transformations 6980
- Simultaneous resolutions of singularities 7384
- Equisingularity and local analytic geometry 7788
- Deformations of coherent analytic sheaves with isolated singularities. 8596
- Local cohomology groups for resolutions of singularities 91102

- Principal Lecture 1 95106
- Function Theory and Real Analysis 107118
- The Dirichlet problem for a complex Monge-Ampere equation 109120
- Type conditions for real submanifolds of C[sup(n)] 115126
- Factorization theorems for Hardy spaces of complex spheres 119130
- Gevrey regularity up to the boundary for the a Newmann problem 123134
- Some recent developments in the theory of the Bergman kernel function: A survey 127138
- The maximum modulus principle for CR functions on smooth real embedded submanifolds of C[sup(n)] 139150
- Real submanifolds with degenerate Levi form 141152
- Boundary behaviour of the Caratheodory and Kobayashi metrics 149160
- Function theory on tube manifolds.. 153164
- A uniqueness theory for the induced Cauchy-Riemann operator 157168
- A Monge-Ampere equation in complex analysis 161172
- CR structures and their extensions 169180
- Uniform bounds on derivatives for the a-problem in the poly disk 177188
- Diffusion estimates in complex analysis 181192
- Hyperfunction boundary values and a generalized Bochner-Hartogs theorem 187198
- Parametrices for the boundary laplacian and related hypoeUiptic differential operators 195206
- On the global real analyticity of solutions to Ob on compact manifolds 205216

- Principal Lecture 2 213224
- Compact Complex Manifolds 239250
- Compactifying C[sub(n)] 241252
- On the cancellation problem for compact complex-analytic manifolds 247258
- Vector fields, Chern classes, and cohomology 251262
- Differential forms with subanalytic singularities; integral cohomology; residues 255266
- On the homotopy type of weighted homogeneous normal complex surfaces 263274
- Holomorphic vector fields on projective varieties 273284
- The topological type of algebraic surfaces: Hypersurfaces in P[sub(3)](C) 277288
- L-dimension and deformations 285296
- On ample divisors 289300
- Compact quotients of C[sup(3)] by affme transformation groups 293304
- Deformations and analytic equations 297308
- Intermediate Jacobians and the Hodge conjecture for cubic fourfolds 303314

- Principal Lecture 3 307318
- Author Index 383394