Lectures On Invariant Theory

Lectures on Invariant Theory PDF
Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Size: 78.63 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 220
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Lectures On Invariant Theory

by Igor Dolgachev, Lectures On Invariant Theory Books available in PDF, EPUB, Mobi Format. Download Lectures On Invariant Theory books, The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.


The Schur Lectures 1992

The Schur Lectures  1992  PDF
Author: Stephen S. Gelbart
Publisher:
ISBN:
Size: 13.32 MB
Format: PDF, Kindle
Category : Algebra
Languages : en
Pages : 236
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The Schur Lectures 1992

by Stephen S. Gelbart, The Schur Lectures 1992 Books available in PDF, EPUB, Mobi Format. Download The Schur Lectures 1992 books,


Classical Invariant Theory

Classical Invariant Theory PDF
Author: Peter J. Olver
Publisher: Cambridge University Press
ISBN: 9780521558211
Size: 46.35 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 280
View: 101

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Classical Invariant Theory

by Peter J. Olver, Classical Invariant Theory Books available in PDF, EPUB, Mobi Format. Download Classical Invariant Theory books, The book is a self-contained introduction to the results and methods in classical invariant theory.


Theory Of Algebraic Invariants

Theory of Algebraic Invariants PDF
Author: David Hilbert
Publisher: Cambridge University Press
ISBN: 9780521449038
Size: 72.82 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 191
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Theory Of Algebraic Invariants

by David Hilbert, Theory Of Algebraic Invariants Books available in PDF, EPUB, Mobi Format. Download Theory Of Algebraic Invariants books, An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.


Lectures On Invariant Subspaces

Lectures on Invariant Subspaces PDF
Author: Henry Helson
Publisher: Academic Press
ISBN: 1483261522
Size: 65.66 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 142
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Lectures On Invariant Subspaces

by Henry Helson, Lectures On Invariant Subspaces Books available in PDF, EPUB, Mobi Format. Download Lectures On Invariant Subspaces books, Lectures on Invariant Subspaces grew out of a series of lectures given gave at the University of Uppsala in the spring of 1962, and again in Berkeley the following semester. Since the subject is rather loosely defined the lecture style seemed appropriate also for this written version. The book is written for a graduate student who knows a little, but not necessarily very much, about analytic functions and about Hilbert space. The book contains 11 lectures and begins with a discussion of analytic functions. This is followed by lectures covering invariant subspaces, individual theorems, invariant subspaces in Lp, invariant subspaces in the line, and analytic vector functions. Subsequent lectures cover vectorial function theory, inner functions, range functions, and factoring of operator functions.


Lectures On The Theory Of Group Properties Of Differential Equations

Lectures on the Theory of Group Properties of Differential Equations PDF
Author: L V Ovsyannikov
Publisher: World Scientific Publishing Company
ISBN: 9814460834
Size: 11.39 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 156
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Lectures On The Theory Of Group Properties Of Differential Equations

by L V Ovsyannikov, Lectures On The Theory Of Group Properties Of Differential Equations Books available in PDF, EPUB, Mobi Format. Download Lectures On The Theory Of Group Properties Of Differential Equations books, These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.


Geometric Invariant Theory For Polarized Curves

Geometric Invariant Theory for Polarized Curves PDF
Author: Gilberto Bini
Publisher: Springer
ISBN: 3319113372
Size: 76.39 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 211
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Geometric Invariant Theory For Polarized Curves

by Gilberto Bini, Geometric Invariant Theory For Polarized Curves Books available in PDF, EPUB, Mobi Format. Download Geometric Invariant Theory For Polarized Curves books, We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which the GIT quotients change are given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5a


Lectures On Curves On An Algebraic Surface

Lectures on Curves on an Algebraic Surface PDF
Author: David Mumford
Publisher: Princeton University Press
ISBN: 9780691079936
Size: 68.81 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 200
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Lectures On Curves On An Algebraic Surface

by David Mumford, Lectures On Curves On An Algebraic Surface Books available in PDF, EPUB, Mobi Format. Download Lectures On Curves On An Algebraic Surface books, These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.


Lectures On Hilbert Schemes Of Points On Surfaces

Lectures on Hilbert Schemes of Points on Surfaces PDF
Author: Hiraku Nakajima
Publisher: American Mathematical Soc.
ISBN: 0821819569
Size: 16.84 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 132
View: 3027

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Lectures On Hilbert Schemes Of Points On Surfaces

by Hiraku Nakajima, Lectures On Hilbert Schemes Of Points On Surfaces Books available in PDF, EPUB, Mobi Format. Download Lectures On Hilbert Schemes Of Points On Surfaces books, This beautifully written book deals with one shining example: the Hilbert schemes of points on algebraic surfaces ... The topics are carefully and tastefully chosen ... The young person will profit from reading this book. --Mathematical Reviews The Hilbert scheme of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for 0-dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory--even theoretical physics. The discussion in the book reflects this feature of Hilbert schemes. One example of the modern, broader interest in the subject is a construction of the representation of the infinite-dimensional Heisenberg algebra, i.e., Fock space. This representation has been studied extensively in the literature in connection with affine Lie algebras, conformal field theory, etc. However, the construction presented in this volume is completely unique and provides an unexplored link between geometry and representation theory. The book offers an attractive survey of current developments in this rapidly growing subject. It is suitable as a text at the advanced graduate level.