9 edition of **Lê cycles and hypersurface singularities** found in the catalog.

- 205 Want to read
- 5 Currently reading

Published
**1995**
by Springer in Berlin, New York
.

Written in English

- Stratified sets,
- Hypersurfaces,
- Functions of several complex variables,
- Singularities (Mathematics)

**Edition Notes**

Includes bibliographical references (p. 125-129) and index.

Statement | David B. Massey. |

Series | Lecture notes in mathematics ;, 1615, Lecture notes in mathematics (Springer-Verlag) ;, 1615. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1615, QA614.42 .L28 no. 1615 |

The Physical Object | |

Pagination | ix, 129 p. : |

Number of Pages | 129 |

ID Numbers | |

Open Library | OL803126M |

ISBN 10 | 3540603956 |

LC Control Number | 95039592 |

Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. MINIMAL DISCREPANCIES OF HYPERSURFACE SINGULARITIES V LADIMIR MAS¸EK (Received Ap ) 0. Introduction Let be a normal, Q -Gorenstein projective variety, and let:! be a res-olution of singularities. The discrepancy divisor = = P, where the are the irreducible exceptional divisors for, plays a key role in the geome-try of.

Non-isolated Hypersurface Singularities, Stratifications, and Lê Cycles David B. Massey (Northeastern University, Boston, USA) Abstract Lecture 1: As an introduction, I will begin reviewing some of the classical results of Milnor from his book “Singular Points of Complex Hypersurfaces”. I will then discuss some basic results on. Extendability of holomorphic differential forms near isolated hypersurface singularities Article (PDF Available) in Abhandlungen aus dem Mathematischen .

In this way we get, for example, the hypersurface J 6 C (x 0, x 1) − J 6 C (x 2, x 3) = G 2, 2, 4 (x 4) in P 5 (R) with nodes and A 3-singularities. There is a dynamical formulation in terms of a uniparametric family of line configurations [15] which can be used to get deformations of the surfaces, where some singularities disappear Cited by: 8. A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with Author: David Mond.

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This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface.

The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface.

The Lê cycles and their Lê cycles and hypersurface singularities book - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary by: Print book: EnglishView all editions and formats Summary: This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the hypersurface.

This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the hypersurface. Rating: (not yet rated) 0 with reviews - Be the first. This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the L cycles of the hypersurface.

The L cycles and their multiplicities - the L numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. Author: V.A. Vassiliev; Publisher: Springer Science & Business Media ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» This volume contains an introduction to the Picard--Lefschetz theory, which controls the ramification and qualitative behaviour of many important functions of PDEs and integral geometry, and its foundations in singularity.

THE SPECTRUM OF HYPERSURFACE SINGULARITIES DUCO VAN STRATEN Abstract. This text is the write-up of a series of lectures on the asymptotic mixed Hodge theory of isolated hypersurface singularities, held at the Third Latin American school on Algebraic Geometry and its applications (ELGA 3) in Guanajuato, Mexico, in august Cited by: 2.

Download PDF Differential Geometry From A Singularity Theory Viewpoint book full free. Differential Geometry From A Singularity Theory Viewpoint available for download an. and on non-isolated hypersurface singularities and Lê cycles by D. Massey. The remaining contributions are research articles which cover topics from the foundations of.

CYCLES OF SINGULARITIES APPEARING IN THE RESOLUTION PROBLEM IN POSITIVE CHARACTERISTIC HERWIG HAUSER AND STEFAN PERLEGA Abstract We present a hypersurface singularity in positive characteristic which is de ned by a purely inseparable power series, and a sequence of point blowups so that, after applying the blowups to the singularity.

Le Cycles and Hypersurface Singularities This text describes and gives applications of an important new tool in the study of comp Le x analytic hypersurface singularities: the Le cyc Le s of the hypersurface.

This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the hypersurface. The Le cycles and their multiplicities - the Le numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension.

In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface.A hypersurface is a manifold or an algebraic variety of dimension n − 1, which is embedded in an ambient space of dimension n, generally a Euclidean space, an affine space or a projective space.

Hypersurfaces share, with surfaces in a three-dimensional space, the. Cycles of Time is a technical bomb, replete with unsupported and unfalsifiable, but curious ideas. I like that Penrose thinks persistently outside the box, but this popular science book definitely needed to be written by a scientist with more experience at communication/5.

The Lê cycles and numbers are a generalization of the Milnor number to the setting of complex, affine hypersurface singularities, where the singular set is allowed to be of arbitrary dimension. SINGULARITIES AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND.

Cycles evanescents, sections planes et 65 conditions de Whitney. II ^-functions and exponents of hypersurface isolated singularities TAMAKI YANO On. Cite this chapter as: Massey D.B. () Aligned singularities. In: Lê Cycles and Hypersurface Singularities. Lecture Notes in Mathematics, vol Cite this chapter as: Massey D.B.

() Lê numbers and hyperplane arrangements. In: Lê Cycles and Hypersurface Singularities. Lecture Notes in Mathematics, vol Author: David B. Massey. Request PDF | On Jan 1,Anthony Blanc and others published Motivic realizations of singularity categories and vanishing cycles | Find, read and cite all.

Martins and J. Nuño-Ballesteros – The link of a frontal surface singularity David B. Massey – Non-isolated hypersurface singularities and Lê cycles R.

Mendes and J. Nuño-Ballesteros – Knots and the topology of singular surfaces in $\mathbb {R}^4$Author: Jean-Paul Brasselet, Maria Aparecida Soares Ruas. Cite this chapter as: Massey D.B. () Suspending singularities.

In: Lê Cycles and Hypersurface Singularities. Lecture Notes in Mathematics, vol. Singularities and Topology of Hypersurfaces.

This book systematically presents a large number of basic results on the topology of complex algebraic varieties using the Author: Alexandru Dimca.8 14th International Workshop on Real and Complex Singularities Aﬃne focal set of codimension 2 submanifolds contained in hypersurfaces Marcos Craizer Catholic University- Rio de Janeiro - Brazil The aﬃne focal set of a codimension 2 submanifold contained in a hypersurface of the (n + 2)-space is the bifurcation set of the aﬃne distance File Size: 1MB.

Milnor and Tjurina numbers for hypersurface germ with isolated singularity Article (PDF Available) in Comptes Rendus Mathematique .