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Classical Algebraic Geometry

2012-08-16 Mathematics
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Release : 2012-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 786/5 ( reviews)

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Book Synopsis Classical Algebraic Geometry by : Igor V. Dolgachev

Download or read book Classical Algebraic Geometry written by Igor V. Dolgachev. This book was released on 2012-08-16. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.

Introduction to Algebraic Geometry

2018-06-01 Mathematics
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Release : 2018-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 187/5 ( reviews)

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Book Synopsis Introduction to Algebraic Geometry by : Steven Dale Cutkosky

Download or read book Introduction to Algebraic Geometry written by Steven Dale Cutkosky. This book was released on 2018-06-01. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

Algebraic Geometry

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 498/5 ( reviews)

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Book Synopsis Algebraic Geometry by : Robin Hartshorne

Download or read book Algebraic Geometry written by Robin Hartshorne. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Geometry of Classical Fields

2011-11-30 Mathematics
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Release : 2011-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 445/5 ( reviews)

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Book Synopsis Geometry of Classical Fields by : Ernst Binz

Download or read book Geometry of Classical Fields written by Ernst Binz. This book was released on 2011-11-30. Available in PDF, EPUB and Kindle. Book excerpt: A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.

Enumerative Geometry and Classical Algebraic Geometry

1982
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Release : 1982
Genre :
Kind : eBook
Book Rating : 062/5 ( reviews)

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Book Synopsis Enumerative Geometry and Classical Algebraic Geometry by :

Download or read book Enumerative Geometry and Classical Algebraic Geometry written by . This book was released on 1982. Available in PDF, EPUB and Kindle. Book excerpt:

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