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Author : A. Tognoli
Publisher :
ISBN 13 : 9783642109461
Total Pages : 190 pages
Book Rating : 4.1/5 (94 download)
Download or read book Singularities of Analytic Spaces written by A. Tognoli and published by . This book was released on 2011-03-30 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José Seade
Publisher : Springer Science & Business Media
ISBN 13 : 3764373954
Total Pages : 243 pages
Book Rating : 4.7/5 (643 download)
Download or read book On the Topology of Isolated Singularities in Analytic Spaces written by José Seade and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
Author : A. Tognoli
Publisher : Springer Science & Business Media
ISBN 13 : 3642109446
Total Pages : 185 pages
Book Rating : 4.6/5 (421 download)
Download or read book Singularities of Analytic Spaces written by A. Tognoli and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: F. Lazzeri: Analytic singularities.- V. Poénaru: Lectures of the singularities of C∞ mappings.- A. Tognoli: About the set of non coherence of a real analytic variety. Pathology and imbedding problems for real analytic spaces.
Author : David Mond
Publisher : Springer Nature
ISBN 13 : 3030344401
Total Pages : 567 pages
Book Rating : 4.0/5 (33 download)
Download or read book Singularities of Mappings written by David Mond and published by Springer Nature. This book was released on 2020-01-23 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Author : A. Tognoli
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (5 download)
Download or read book Singularities of Analytic Spaces (2 Ciclo Bressanone June 1974). written by A. Tognoli and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José Manuel Aroca
Publisher : Springer
ISBN 13 : 4431498222
Total Pages : 356 pages
Book Rating : 4.4/5 (314 download)
Download or read book Complex Analytic Desingularization written by José Manuel Aroca and published by Springer. This book was released on 2018-11-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: [From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry. In addition, the book contains an elegant presentation of all the prerequisites of complex analytic geometry, including basic definitions and theorems needed to follow the development of ideas and proofs. Its epilogue presents the use of similar ideas in the resolution of singularities of complex analytic foliations. This text will be particularly useful and interesting for readers of the younger generation who wish to understand one of the most fundamental results in algebraic and analytic geometry and invent possible extensions and applications of the methods created to prove it.
Author : Gert-Martin Greuel
Publisher : Springer Science & Business Media
ISBN 13 : 3540284192
Total Pages : 482 pages
Book Rating : 4.5/5 (42 download)
Download or read book Introduction to Singularities and Deformations written by Gert-Martin Greuel and published by Springer Science & Business Media. This book was released on 2007-02-23 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.
Author : Centro internazionale matematico estivo
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (755 download)
Download or read book Singularities of Analytic Spaces written by Centro internazionale matematico estivo and published by . This book was released on 1975 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David B. Massey
Publisher : American Mathematical Soc.
ISBN 13 : 0821832808
Total Pages : 288 pages
Book Rating : 4.8/5 (218 download)
Download or read book Numerical Control over Complex Analytic Singularities written by David B. Massey and published by American Mathematical Soc.. This book was released on 2003 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.
Author : Alexandru Dimca
Publisher : Springer-Verlag
ISBN 13 : 3663139034
Total Pages : 242 pages
Book Rating : 4.6/5 (631 download)
Download or read book Topics on Real and Complex Singularities written by Alexandru Dimca and published by Springer-Verlag. This book was released on 2013-07-02 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shihoko Ishii
Publisher : Springer
ISBN 13 : 4431568379
Total Pages : 242 pages
Book Rating : 4.4/5 (315 download)
Download or read book Introduction to Singularities written by Shihoko Ishii and published by Springer. This book was released on 2018-09-21 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.
Author : Henry B. Laufer
Publisher : Princeton University Press
ISBN 13 : 1400881749
Total Pages : 176 pages
Book Rating : 4.4/5 (8 download)
Download or read book Normal Two-Dimensional Singularities. (AM-71), Volume 71 written by Henry B. Laufer and published by Princeton University Press. This book was released on 2016-03-02 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey, thorough and timely, of the singularities of two-dimensional normal complex analytic varieties, the volume summarizes the results obtained since Hirzebruch's thesis (1953) and presents new contributions. First, the singularity is resolved and shown to be classified by its resolution; then, resolutions are classed by the use of spaces with nilpotents; finally, the spaces with nilpotents are determined by means of the local ring structure of the singularity.
Author : Centro internazionale matematico estivo
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (878 download)
Download or read book Singularities of Analytic Spaces, 2. Ciolio, Bressanone, 1974 written by Centro internazionale matematico estivo and published by . This book was released on 1975 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. J. S. Clarke
Publisher : Cambridge University Press
ISBN 13 : 9780521437967
Total Pages : 196 pages
Book Rating : 4.4/5 (379 download)
Download or read book The Analysis of Space-Time Singularities written by C. J. S. Clarke and published by Cambridge University Press. This book was released on 1993 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The different possible singularities are defined and the mathematical methods needed to extend the space-time are described in detail in this book. Results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor.
Author : Caroline Grant Melles
Publisher : American Mathematical Soc.
ISBN 13 : 0821820052
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)
Download or read book Singularities in Algebraic and Analytic Geometry written by Caroline Grant Melles and published by American Mathematical Soc.. This book was released on 2000 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth. Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; direct-sum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces - a brief history with conjectures and open problems.
Author : Shreeram Shankar Abhyankar
Publisher : World Scientific
ISBN 13 : 981281034X
Total Pages : 506 pages
Book Rating : 4.8/5 (128 download)
Download or read book Local Analytic Geometry written by Shreeram Shankar Abhyankar and published by World Scientific. This book was released on 2001 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory. The book has been written in the spirit of Weierstrass. Power series play the dominant role. The treatment, being algebraic, is not restricted to complex numbers, but remains valid over any complete-valued field. This makes it applicable to situations arising from number theory. When it is specialized to the complex case, connectivity and other topological properties come to the fore. In particular, via singularities of analytic sets, topological fundamental groups can be studied. In the transition from punctual to local, i.e. from properties at a point to properties near a point, the classical work of Osgood plays an important role. This gives rise to normic forms and the concept of the Osgoodian. Following Serre, the passage from local to global properties of analytic spaces is facilitated by introducing sheaf theory. Here the fundamental results are the coherence theorems of Oka and Cartan. They are followed by theory normalization due to Oka and Zariski in the analytic and algebraic cases, respectively. Contents: Elementary Theory in Cn; Weierstrass Preparation Theorem; Review from Local Algebra; Parameters in Power Series Rings; Analytic Sets; Language of Sheaves; Analytic Spaces. Readership: Graduate students and researchers in pure mathematics.
Author : Alberto Tognoli
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (988 download)
Download or read book Singularities of Analytic Spaces written by Alberto Tognoli and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
