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

• Autore: Milnor John
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1969
• Descrizione fisica: 1 online resource (137 pages) : illustrations
• Disciplina: 516.35
• Soggetto topico: Geometry, Algebraic
• Soggetto non controllato: 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
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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
• Sommario/riassunto: The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming.
• Titolo autorizzato: Singular Points of Complex Hypersurfaces. (AM-61), Volume 61
• ISBN: 1-4008-8181-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154743603321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; Number 61.