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Holomorphic Foliations With Singularities
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Book Synopsis Holomorphic Foliations with Singularities by : Bruno Scárdua
Download or read book Holomorphic Foliations with Singularities written by Bruno Scárdua and published by Springer Nature. This book was released on 2021-12-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H. Cartan, K. Oka, T. Nishino, and M. Suzuki. The text starts with a gentle presentation of the classical notion of foliations, advancing to holomorphic foliations and then holomorphic foliations with singularities. The theory behind reduction of singularities is described in detail, as well the cases for dynamics of a local diffeomorphism and foliations on complex projective spaces. A final chapter brings recent questions in the field, as holomorphic flows on Stein spaces and transversely homogeneous holomorphic foliations, along with a list of open questions for further study and research. Selected exercises at the end of each chapter help the reader to grasp the theory. Graduate students in Mathematics with a special interest in the theory of foliations will especially benefit from this book, which can be used as supplementary reading in Singularity Theory courses, and as a resource for independent study on this vibrant field of research.
Book Synopsis Handbook of Geometry and Topology of Singularities V: Foliations by : Felipe Cano
Download or read book Handbook of Geometry and Topology of Singularities V: Foliations written by Felipe Cano and published by Springer Nature. This book was released on with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Geometry and Topology of Singularities VI: Foliations by : Felipe Cano
Download or read book Handbook of Geometry and Topology of Singularities VI: Foliations written by Felipe Cano and published by Springer Nature. This book was released on with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singularities and Foliations. Geometry, Topology and Applications by : Raimundo Nonato Araújo dos Santos
Download or read book Singularities and Foliations. Geometry, Topology and Applications written by Raimundo Nonato Araújo dos Santos and published by Springer. This book was released on 2018-03-21 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.
Book Synopsis Local Dynamics of Singular Holomorphic Foliations by : Marco Abate
Download or read book Local Dynamics of Singular Holomorphic Foliations written by Marco Abate and published by . This book was released on 2009 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular Holomorphic Foliations by : Sertöz, Ali Sinan
Download or read book Singular Holomorphic Foliations written by Sertöz, Ali Sinan and published by . This book was released on 1984 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Birational Geometry of Foliations by : Marco Brunella
Download or read book Birational Geometry of Foliations written by Marco Brunella and published by Springer. This book was released on 2015-03-25 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.
Book Synopsis Handbook of Geometry and Topology of Singularities V: Foliations by : Felipe Cano
Download or read book Handbook of Geometry and Topology of Singularities V: Foliations written by Felipe Cano and published by Springer. This book was released on 2024-06-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fifth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. Singularities are ubiquitous in mathematics and science in general, and singularity theory is a crucible where different types of mathematical problems converge, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. This Volume V focuses on singular holomorphic foliations, which is a multidisciplinary field and a whole area of mathematics in itself. Singular foliations arise, for instance, by considering: The fibers of a smooth map between differentiable manifolds, with singularities at the critical points. The integral lines of a vector field, or the action of a Lie group on a manifold. The singularities are the orbits with special isotropy. The kernel of appropriate 1-forms. The singularities are the zeros of the form. Open books, which naturally appear in singularity theory as foliations with singular set the binding. These important examples highlight the deep connections between foliations and singularity theory. This volume, like its companion Volume VI, also focused on foliations, consists of nine chapters, authored by world experts, which provide in-depth and reader-friendly introductions to some of the foundational aspects of the theory. These introductions also give insights into important lines of further research. The volume starts with a foreword by one of the current world leaders in the theory of complex foliations. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Book Synopsis Complex Algebraic Foliations by : Alcides Lins Neto
Download or read book Complex Algebraic Foliations written by Alcides Lins Neto and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-24 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing methods from algebraic and complex geometry along with techniques from complex dynamics and several complex variables. The result is a solid introduction to the theory of foliations, covering basic concepts through modern results on the structure of foliations on complex projective spaces.
Book Synopsis Indices of Vector Fields and Residues of Singular Holomorphic Foliations by : Tatsuo Suwa
Download or read book Indices of Vector Fields and Residues of Singular Holomorphic Foliations written by Tatsuo Suwa and published by Editions Hermann. This book was released on 1998 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foliation Theory in Algebraic Geometry by : Paolo Cascini
Download or read book Foliation Theory in Algebraic Geometry written by Paolo Cascini and published by Springer. This book was released on 2016-03-30 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study./div
Book Synopsis On the Topology of Isolated Singularities in Analytic Spaces by : José Seade
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.
Book Synopsis Differential Topology, Foliations, and Group Actions by : Paul A. Schweitzer
Download or read book Differential Topology, Foliations, and Group Actions written by Paul A. Schweitzer and published by American Mathematical Soc.. This book was released on 1994 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on Topology held at the Pontificia Universidade Catolica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions---finite group actions and rigidity theory for Anosov actions---as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.
Book Synopsis Real and Complex Singularities by : Jean-Paul Brasselet
Download or read book Real and Complex Singularities written by Jean-Paul Brasselet and published by Springer Science & Business Media. This book was released on 2007-01-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers presented at the eighth São Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful summary of leading ideas in singularity theory, and inspiration for future research.
Book Synopsis Singularities in Geometry, Topology, Foliations and Dynamics by : José Luis Cisneros-Molina
Download or read book Singularities in Geometry, Topology, Foliations and Dynamics written by José Luis Cisneros-Molina and published by Birkhäuser. This book was released on 2017-02-13 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas. The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday. It is intended for researchers and graduate students interested in singularity theory and its impact on other fields.
Book Synopsis Lectures on Analytic Differential Equations by : I︠U︡. S. Ilʹi︠a︡shenko
Download or read book Lectures on Analytic Differential Equations written by I︠U︡. S. Ilʹi︠a︡shenko and published by American Mathematical Soc.. This book was released on 2008 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the mor The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. on several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.
Book Synopsis Real and Complex Singularities by : Marcelo José Saia
Download or read book Real and Complex Singularities written by Marcelo José Saia and published by American Mathematical Soc.. This book was released on 2008 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a selection of papers based on talks at the Ninth International Workshop on Real and Complex Singularities, a series of biennial workshops organized by the Singularity Theory group at Sao Carlos, S.P., Brazil. The papers deal with all the different topics in singularity theory and its applications, from pure singularity theory related to commutative algebra and algebraic geometry to those topics associated with various aspects of geometry to homotopytheory.
