Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 /

The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Milnor, John (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 61
Temas:
Geometry, Algebraic.
MATHEMATICS / Geometry / Algebraic.
3-sphere.
Addition.
Alexander polynomial.
Algebraic curve.
Algebraic equation.
Algebraic geometry.
Analytic manifold.
Apply.
Approximation.
Binary icosahedral group.
Boundary (topology).
Characteristic polynomial.
Codimension.
Coefficient.
Commutator subgroup.
Commutator.
Compact group.
Complex analysis.
Complex number.
Complex projective plane.
Conjecture.
Contradiction.
Coordinate space.
Coordinate system.
Derivative.
Differentiable manifold.
Dimension.
Directional derivative.
Euclidean space.
Euler number.
Exact sequence.
Existential quantification.
Exotic sphere.
Fiber bundle.
Fibration.
Field of fractions.
Finite group.
Finite set.
Finitely generated group.
Formal power series.
Free abelian group.
Free group.
Fundamental group.
Geometry.
Hermitian matrix.
Hessian matrix.
Homology (mathematics).
Homology sphere.
Homotopy sphere.
Homotopy.
Hopf fibration.
Hypersurface.
Icosahedron.
Implicit function theorem.
Integer.
Integral domain.
Inverse function theorem.
Knot group.
Knot theory.
Line segment.
Linear combination.
Linear map.
Manifold.
Minor (linear algebra).
Morse theory.
N-sphere.
Neighbourhood (mathematics).
Normal (geometry).
Normal subgroup.
Open set.
Orientability.
Parametrization.
Polynomial.
Prime ideal.
Principal ideal.
Projective space.
Real number.
Regular icosahedron.
Retract.
Riemannian manifold.
Second derivative.
Sign (mathematics).
Simply connected space.
Smoothness.
Special case.
Submanifold.
Subset.
Surjective function.
Tangent space.
Theorem.
Topological manifold.
Topology.
Transcendence degree.
Tubular neighborhood.
Unit interval.
Unit sphere.
Unit vector.
Variable (mathematics).
Vector field.
Vector space.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • §1. INTRODUCTION
  • §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS
  • §3. THE CURVE SELECTION LEMMA
  • §4. THE FIBRATION THEOREM
  • §5. THE TOPOLOGY OF THE FIBERAND OF K
  • §6. THE CASE OF AN ISOLATED CRITICAL POINT
  • §7. THE MIDDLE BETTI NUMBER OF THE FIBER
  • §8. IS K A TOPOLOGICAL SPHERE ?
  • §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS
  • § 10. THE CLASSICAL CASE: CURVES IN C2
  • §11. A FIBRATION THEOREM FOR REAL SINGULARITIES
  • APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS
  • APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS
  • BIBLIOGRAPHY

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