Singularities and Their Interaction with Geometry and Low Dimensional Topology, Fern?ndez de Bobadilla

Автор: N?methi
Название: Normal Surface Singularities
ISBN: 3031067525 ISBN-13(EAN): 9783031067525
Издательство: Springer
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Цена: 51230.00 T
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Описание: This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology. In this way, it unites the analytic approach with the more recent topological one, combining their tools and methods. In the first chapters, the book sets out the foundations of the theory of normal surface singularities. This includes a comprehensive presentation of the properties of the link (as an oriented 3-manifold) and of the invariants associated with a resolution, combined with the structure and special properties of the line bundles defined on a resolution. A recurring theme is the comparison of analytic and topological invariants. For example, the Poincar? series of the divisorial filtration is compared to a topological zeta function associated with the resolution graph, and the sheaf cohomologies of the line bundles are compared to the Seiberg–Witten invariants of the link. Equivariant Ehrhart theory is introduced to establish surgery-additivity formulae of these invariants, as well as for the regularization procedures of multivariable series. In addition to recent research, the book also provides expositions of more classical subjects such as the classification of plane and cuspidal curves, Milnor fibrations and smoothing invariants, the local divisor class group, and the Hilbert–Samuel function. It contains a large number of examples of key families of germs: rational, elliptic, weighted homogeneous, superisolated and splice-quotient. It provides concrete computations of the topological invariants of their links (Casson(–Walker) and Seiberg–Witten invariants, Turaev torsion) and of the analytic invariants (geometric genus, Hilbert function of the divisorial filtration, and the analytic semigroup associated with the resolution). The book culminates in a discussion of the topological and analytic lattice cohomologies (as categorifications of the Seiberg–Witten invariant and of the geometric genus respectively) and of the graded roots. Several open problems and conjectures are also formulated. Normal Surface Singularities provides researchers in algebraic and differential geometry, singularity theory, complex analysis, and low-dimensional topology with an invaluable reference on this rich topic, offering a unified presentation of the major results and approaches.

Автор: Maxim, Laurentiu G.
Название: Intersection homology & perverse sheaves
ISBN: 3030276430 ISBN-13(EAN): 9783030276430
Издательство: Springer
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Цена: 43780.00 T
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Описание: This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.

Автор: Nathan Priddis, Tyler J. Jarvis
Название: Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model
ISBN: 1470457008 ISBN-13(EAN): 9781470457006
Издательство: Mare Nostrum (Eurospan)
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Цена: 101990.00 T
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Описание: This volume contains the proceedings of the workshop Crossing the Walls in Enumerative Geometry, held in May 2018 at Snowbird, Utah. It features a collection of both expository and research articles about mirror symmetry, quantized singularity theory (FJRW theory), and the gauged linear sigma model.Most of the expository works are based on introductory lecture series given at the workshop and provide an approachable introduction for graduate students to some fundamental topics in mirror symmetry and singularity theory, including quasimaps, localization, the gauged linear sigma model (GLSM), virtual classes, cosection localization, $p$-fields, and Saito's primitive forms. These articles help readers bridge the gap from the standard graduate curriculum in algebraic geometry to exciting cutting-edge research in the field.The volume also contains several research articles by leading researchers, showcasing new developments in the field.

Автор: Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?
Название: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
ISBN: 3030072584 ISBN-13(EAN): 9783030072582
Издательство: Springer
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Цена: 83850.00 T
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Описание: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Автор: Gert-Martin Greuel; Luis Narv?ez Macarro; Sebasti?
Название: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics
ISBN: 3319968262 ISBN-13(EAN): 9783319968261
Издательство: Springer
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Цена: 83850.00 T
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Описание: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Автор: Ishii
Название: Introduction to Singularities
ISBN: 4431568360 ISBN-13(EAN): 9784431568360
Издательство: Springer
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Цена: 55890.00 T
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Описание: 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 methode pour bien conduire sa raison, et chercher la verite dans les sciences by Descartes.

Автор: Antonio Campillo Lopez; Luis Narvaez Macarro
Название: Algebraic Geometry and Singularities
ISBN: 3034898703 ISBN-13(EAN): 9783034898706
Издательство: Springer
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Цена: 93160.00 T
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Описание: The volume contains both general and research papers. Among the first ones are papers showing recent and original developments or methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The research papers deal on topics related to, or close to, those listed_above. The contributions are organized in three parts according to their contents. Part I presents a set of papers on resolution of singularities, a topic of renewed activity. It deals with important topics of current interest, such as canonical, algorithmic, combinatorial and graphical procedures (Villamayor, Oka, Marijmin), as well as special results on desingularization in characteristic p (Cossart, Moh), and connections between resolution and structure of the space of arcs through a singularity (Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of papers on the study of singularities and its connections with differential systems and deformation or perturbation theo- ries. Two expository papers (Maisonobe-Briam;on: 'vlebkhout) describe, in an algebro-geometric way, the interaction between singularities and D-module t.he- ory including recent progress on Bernstein polynomials and Newton polygon techniques. Geometry of foliations (Henaut, Garcfa-Reguera), polar varieties and stratifications (Hajto) are also topics treated here. Two other papers (Wall, Greuel-Pfister) deal with quasihomogeneous singularities in the contexts of per- turbations and moduli spaces. Globalization of deformations of singularities (de Jong) and determination of complex topology from the real one ( 10nd) com- plete this series of papers. Part III consists of papers on algebraic geometry of curves and surfaces.

Автор: Fernбndez de Bobadilla Javier, Lбszlу Tamбs, Stipsicz Andrбs
Название: Singularities and Their Interaction with Geometry and Low Dimensional Topology: In Honor of Andrбs Nйmethi
ISBN: 3030619575 ISBN-13(EAN): 9783030619572
Издательство: Springer
Цена: 167700.00 T
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Описание: The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

Автор: Jos? Luis Cisneros-Molina; D?ng Tr?ng L?; Mutsuo O
Название: Singularities in Geometry, Topology, Foliations and Dynamics
ISBN: 3319393383 ISBN-13(EAN): 9783319393384
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings.Singularity theory is at the crossroad of various branches of mathematics and science in general.

Автор: Ara?jo dos Santos
Название: Singularities and Foliations. Geometry, Topology and Applications
ISBN: 3319736388 ISBN-13(EAN): 9783319736389
Издательство: Springer
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Цена: 139750.00 T
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Описание: This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015.

Название: Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities
ISBN: 9811206023 ISBN-13(EAN): 9789811206023
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: This is a proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities held in Kagoshima during 27th October - 3rd November, 2017. The main theme of the symposium was Singularity Theory in a broad sense, including complex and real algebraic varieties, functions and mappings, and topology of singularities. The symposium was based on long-term interaction of singularity theorists in France, Japan, Vietnam and other countries. This volume includes three surveys of recent trends based on the lectures in the mini-school organized in the first two days of the symposium and articles presenting recent progress in Singularity Theory.

Автор: Montaldi, James (university Of Manchester)
Название: Singularities, bifurcations and catastrophes
ISBN: 131660621X ISBN-13(EAN): 9781316606216
Издательство: Cambridge Academ
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Цена: 47510.00 T
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Описание: Suitable for advanced undergraduates, postgraduates and researchers, this text introduces the key ideas of modern singularity theory and develops an approach to the foundations of bifurcation theory, which is more flexible than the standard one. It contains numerous examples and problems, with solutions to a selection of them.