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# ðŸ“™ Algebraic Geometry: An Introduction by Daniel Perrin (auth.) â€” free download

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Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the UniversitÃ© Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field.

The book starts with easily-formulated problems with non-trivial solutions â€“ for example, BÃ©zoutâ€™s theorem and the problem of rational curves â€“ and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.

- Series:
**Universitext** - Author:
**Daniel Perrin (auth.)** - Year:
**2008** - Publisher:
**Springer-Verlag London** - Language:
**English** - ISBN:
**1848000553,9781848000551**

- File size:
**2 396 604** - Format:
**pdf**

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Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise pol...

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergra...

There are many introductions to algebraic geometry focusing on similar topics to this one (varieties affine and projective). However this one is especially friendly to newcomers and is the only such book that I think is accessible to an average undergradu...

The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interes...

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of wa...

This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in deta...

Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they ...

This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in deta...

This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in deta...

From Bookmarks Magazine In his review for the New York Times Book Review, James McManus wrote that Closing Time is likely to intensify whatever opinion readers already hold about Joe Queenan. This seemed true for critics, too, who were sharply divided a...

How to Train As If Your VERY LIFE Depended on Your Degree of REAL Strength, Power and ToughnessMost physical training systems are designed for the domesticated human animal. That is to say, for us humans who live lives of such relative security that we cu...

From Publishers Weekly Starred Review. In order to shield our shattered collective psyche from a long history of setbacks and disillusionment... we cultivate communal and historical amnesia..., writes novelist Danticat in this lean collection of jaw-bre...

This hysterical collection of stories of actual crimes committed by clumsy crooks and fumbling felons will have you laughing out loud at painfully dumb attempts at crime. Illustrated....

Why trying to be the best ... competing like crazy ... makes you mediocre Every few years a book--through a combination of the author'sunique voice, storytelling ability, wit, and insight--simply breaks the mold. Bill Bryson's "A Walk in" "the Woods" is o...

From Publishers Weekly Kerr (Lost Japan), a 35-year resident of Japan and the first foreigner to win that country's Shincho literary prize, contends that the Japanese miracle has become a Japanese mess. Once admired, and perhaps feared, for its spectacu...

On a soft summer night in Vermont, twelve-year-old Lisa went into the woods behind her house and never came out again. Before she disappeared, she told her little brother, Sam, about a door that led to a magical place where she would meet the King of the ...

Pulitzer prizeâ€“winner Chris Hedges charts the dramatic and disturbing rise of a post-literate society that craves fantasy, ecstasy and illusion.Chris Hedges argues that we now live in two societies: One, the minority, functions in a print-based, literate ...

Within hours of 9/11, America's war on terrorism fell to those like the 23 Marines of the First Recon Battalion, the first generation dispatched into open-ended combat since Vietnam. They were a new breed of American warrior unrecognizable to their forebe...