Deformation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Deformation Theory write by Robin Hartshorne. This book was released on 2009-11-12. Deformation Theory available in PDF, EPUB and Kindle. The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley.
Deformations of Algebraic Schemes
Deformations of Algebraic Schemes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Deformations of Algebraic Schemes write by Edoardo Sernesi. This book was released on 2007-04-20. Deformations of Algebraic Schemes available in PDF, EPUB and Kindle. This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
Introduction to Singularities and Deformations
Introduction to Singularities and Deformations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Singularities and Deformations write by Gert-Martin Greuel. This book was released on 2007-02-23. Introduction to Singularities and Deformations available in PDF, EPUB and Kindle. 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.
The Isomonodromic Deformation Method in the Theory of Painleve Equations
The Isomonodromic Deformation Method in the Theory of Painleve Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Isomonodromic Deformation Method in the Theory of Painleve Equations write by Alexander R. Its. This book was released on 2006-11-14. The Isomonodromic Deformation Method in the Theory of Painleve Equations available in PDF, EPUB and Kindle.
Deformation Theory of Algebras and Their Diagrams
Deformation Theory of Algebras and Their Diagrams - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Deformation Theory of Algebras and Their Diagrams write by Martin Markl. This book was released on 2012. Deformation Theory of Algebras and Their Diagrams available in PDF, EPUB and Kindle. This book brings together both the classical and current aspects of deformation theory. The presentation is mostly self-contained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available. The relation between the uniform continuity of algebraic maps and topologized tensor products is explained in detail, however, as this subject does not seem to be commonly known and the literature is scarce. The exposition begins by recalling Gerstenhaber's classical theory for associative algebras. The focus then shifts to a homotopy-invariant setup of Maurer-Cartan moduli spaces. As an application, Kontsevich's approach to deformation quantization of Poisson manifolds is reviewed. Then, after a brief introduction to operads, a strongly homotopy Lie algebra governing deformations of (diagrams of) algebras of a given type is described, followed by examples and generalizations.
