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Topological invariants of quasi-ordinary singularities
About this Title
Joseph Lipman
Publication: Memoirs of the American Mathematical Society
Publication Year:
1988; Volume 74, Number 388
ISBNs: 978-0-8218-2451-1 (print); 978-1-4704-0808-4 (online)
DOI: https://doi.org/10.1090/memo/0388
MathSciNet review: 954947
MSC: Primary 14B05; Secondary 32C40, 57Q45
Table of Contents
Chapters
- Topological invariants of quasi-ordinary singularities (by Joseph Lipman)
- Introduction
- Part I. Rational equivalence and local homology in codimension one
- 1. Local fundamental class map
- 2. Codimension one cycles at quotient singularities
- 3. Quasi-ordinary singularities
- 4. Presentation of the group $A_{d-1} \cong H_{2d-2}$
- Part II. The hypersurface case
- 5. Characteristics monomials of quasi-ordinary parametrizations
- 6. Topological invariance of the reduced branching sequence
- 7. Appendix: The singular locus
- Embedded topological classification of quasi-ordinary singularities (by Yih-Nan Gau)
- Introduction
- 1. Statement of main results
- 2. Some plane sections of $X$ and two key lemmas
- 3. Topological invariants
- 4. Proof of the main theorem
- Appendix (by J. Lipman)