Milnor Singular Points of Complex Hypersurfaces

1. Auflage 2016
ISBN: 978-1-4008-8181-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 61, 130 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Singular Points of Complex Hypersurfaces".

Autoren/Hrsg.

Milnor, John

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Frontmatter, pg. i
PREFACE, pg. vii
CONTENTS, pg. ix
§1. INTRODUCTION, pg. 1
§2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS, pg. 9
§3. THE CURVE SELECTION LEMMA, pg. 25
§4. THE FIBRATION THEOREM, pg. 33
§5. THE TOPOLOGY OF THE FIBERAND OF K, pg. 45
§6. THE CASE OF AN ISOLATED CRITICAL POINT, pg. 55
§7. THE MIDDLE BETTI NUMBER OF THE FIBER, pg. 59
§8. IS K A TOPOLOGICAL SPHERE ?, pg. 65
§9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS, pg. 71
§ 10. THE CLASSICAL CASE: CURVES IN C2, pg. 81
§11. A FIBRATION THEOREM FOR REAL SINGULARITIES, pg. 97
APPENDIX A. WHITNEY’S FINITENESS THEOREM FOR ALGEBRAIC SETS, pg. 105
APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS, pg. 111
BIBLIOGRAPHY, pg. 117

Über Autor(innen)

John Milnor is professor of mathematics and codirector of the Institute for Mathematical Sciences at Stony Brook University, State University of New York. Winner of the Fields Medal, he is the author of several books, including Lectures on the H-Cobordism Theorem (Princeton).