2 edition of **Deformation theory** found in the catalog.

Deformation theory

Robin Hartshorne

- 19 Want to read
- 16 Currently reading

Published
**2010**
by Springer in New York
.

Written in English

- Deformations of singularities,
- Algebraic Geometry,
- Deformation

**Edition Notes**

Includes bibliographical references (p. [217]-224) and index.

Statement | Robin Hartshorne |

Series | Graduate texts in mathematics -- 257, Graduate texts in mathematics -- 257. |

Classifications | |
---|---|

LC Classifications | QA614.58 .H37 2010 |

The Physical Object | |

Pagination | vi, 234 p. : |

Number of Pages | 234 |

ID Numbers | |

Open Library | OL25147412M |

ISBN 10 | 1441915958, 1441915966 |

ISBN 10 | 9781441915955, 9781441915962 |

LC Control Number | 2009939327 |

OCLC/WorldCa | 496229710 |

This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered \(A_\infty\) algebras and \(A_\infty\) bimodules and. “Deformation theory is the study of the behaviour of a family of algebraic geometric objects, such as schemes or coherent sheaves, near a given element. The book is recommended for advanced graduate students and researchers in algebraic geometry who want to learn deformation theory. The book is clearly written, the abstract material 5/5(1).

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. well-known) topics. Examples of these include sections on the statistical mechanical theory of polymer chains and the lattice theory of crystalline solids in the discussion of constitutive relations in Volume II, as well as several initial-boundary value problems designed to illustrate.

Deformation theory of plasticit yw as originally prop osed for non-linear but in nitesimally small plastic deformation. An extension to nite strain range w as discussed b y St oren and Rice (). The purp ose of this pap er is to pro vide a form ulation the rate-t yp e deformation theory for pressure-dep enden t and pressure-indep enden t. 1) Notes on Deformation Theory by Nitin Nitsure. 2) Deformation Theory by M. Doubek, M. Markl and P. Zima. 3) A glimpse on Deformation theory by Brian Osserman. 4) Robin Hartshorne's book on Deformation Theory. Nothing helped me to understand what is deformation theory actually.

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The book is recommended for advanced graduate students and researchers in algebraic geometry who want to learn deformation theory. The book is clearly written, the abstract material is illustrated by examples where appropriate and there are exercises dealing with concrete geometrical problems at the end of each section.” (Gábor Megyesi, The Mathematical Gazette, Vol.

96 (), November, )5/5(1). Since deformation theory could be considered a central topic in algebraic geometry textbook where some of the main results and methods are collected in one place is certainly welcome.

inclusion of exercises and plenty of examples, make this book suitable for a course on this topic or for self-study, with the only prerequisite the now standard textbook on Algebraic Geometry by the same author.” (Felipe 5/5(1).

“Deformation theory is the study of the behaviour of a family of algebraic geometric objects, such as schemes or coherent sheaves, near a given element. The book is recommended for advanced graduate students and researchers in algebraic geometry who want to learn deformation theory. Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry.

This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics.

In the fall semester of I gave a course on deformation theory at Berkeley. My goal was to understand completely Grothendieck’s local study of the Hilbert scheme using the cohomology of the normal bundle to characterize the Zariski tangent space and the obstructions to deformations.

About this book Introduction 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. very useful book just prior to exams to get a good overview of different topics.

INCREMENTAL THEORY OF PLASTICITY. SOLUTION OF PLASTICITY PROBLEMS problem buckling stress buckling temperature calculated carbon-carbon composite materials cross-ply laminated curve in Figure deformation theory elastic region elastic-plastic Equation 5/5(3). the purposes of this book is to develop local deformation theory in the framework of formal pointed dg-manifolds (which are dg-manifolds with marked points).

Whatpropertiesshouldsatisfythe“modulispace”ofsomestructures. Let us consider an example of the moduli space of complex structures on aFile Size: 2MB. Mike Artin has two good sources: the book "Lectures on deformations of singularities", and the '74 Inventiones article "Versal deformations and algebraic stacks".

Illusie's two volumes are the canonical deformation theory source, but they are very abstract. In the analytic category, see Kodaira.

The deformation or total strain theory of plasticity is addressed in Chapter Five with the incremental or flow theory introduced in Chapter Six in order to contrast it with deformation theory.

The solution process for plasticity problems is begun in Chapter Seven in general terms. Then, specific plasticity problems are addressed in subsequent chapters.

This volume is a result of a meeting which took place in June at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'.

It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. Book Description. Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry.

This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics.

Deformation Theory Robin Hartshorne (auth.) 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 book, we explore the concepts of deformation theory including yield criteria and loading concepts for isotropic metals in addition to some of the introductory fundamentals of incremental theory.

Then, deformation theory is applied to problems of beam bending, a hollow sphere under external pressure, plastic buckling of bars, plates, and. In its modern form, deformation theory began with the work of Riemann.

In a paper published in on the theory of Abelian functions, Riemann conjectured that the set M g of non-isomorphic compact Riemann surfaces of genus g at least 2 can be parametrized by 3g–3 complex parameters, which he called “moduli.”. The first-order shear deformation theories (FSDTs) for bending plates proposed by Reissner,Mindlin, have been used extensively in the analysis of shear flexible plates and shells (Noor and Burton,Karama et al., ).Cited by: The intention of this book is to reveal and discuss some aspects of the metal fo- ing plasticity theory.

The modern theory describes deformation of metallic bodies in cold and hot regimes under combined thermal and mechanical loadings. Th- mal and deformation fields appear in. Deformation theory agrees with flow theory of plasticity only under proportional loading, since then specification of the final state of stress also specifies the stress history.

For general (nonproportional) loading, more accurate and physically appropriate is the flow theory of plasticity, particularly with an accurate modelling of the yield surface and hardening behavior. Deformation theory is the local study of deformations. Or, seen from another point of view, it is the infinitesimal study of a family in the neighborhood of a given element.

A New York Times bestseller The Great Deformation is a searing look at Washington's craven response to the recent myriad of financial crises and fiscal cliffs. It counters conventional wisdom with an eighty-year revisionist history of how the American state—especially the Federal Reserve—has fallen prey to the politics of crony capitalism and the ideologies of fiscal stimul/5().

Among the advances taking place during the conference was Majid's reconstruction theorem for Drinfel‴d's quasi-Hopf algebras. Readers will appreciate this snapshot of some of the latest developments in the mathematics of quantum groups and deformation theory.Transition to the Deformation Theory of Plasticity The Universal Stress-Strain Curve Historical ReviewandComments NONLINEARSTRESS-STRAIN BEHAVIORCURVEMODELS Linear Strain-Hardening Stress-Strain Curve Model Power-LawStress-Strain Curve Model Ramberg-OsgoodStress-Strain Curve Model File Size: KB.

"No doubt, this masterly written book gives an excellent first introduction to algebraic deformation theory, and a perfect motivation for further, more advanced reading likewise.

It is the author's masterful style of expository writing that makes this text particularly valuable for seasoned graduate students and for future researchers in the field/5(2).