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An creation to summary algebraic geometry, with the single must haves being effects from commutative algebra, that are said as wanted, and a few effortless topology. greater than four hundred workouts disbursed during the publication supply particular examples in addition to extra specialized themes no longer taken care of generally textual content, whereas 3 appendices current short bills of a few parts of present examine. This e-book can hence be used as textbook for an introductory direction in algebraic geometry following a easy graduate direction 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's the writer of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and various study titles.

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**A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series)**

Algebraic topology is a simple a part of glossy arithmetic, and a few wisdom of this sector is quintessential for any complex paintings in relation to geometry, together with topology itself, differential geometry, algebraic geometry, and Lie teams. This ebook offers an in depth therapy of algebraic topology either for academics of the topic and for complicated graduate scholars in arithmetic both focusing on this quarter or carrying on with directly to different fields.

First textbook-level account of easy examples and methods during this zone. appropriate for self-study by means of a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

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Grothendieck’s appealing thought of schemes permeates sleek algebraic geometry and underlies its functions to quantity conception, physics, and utilized arithmetic. this easy account of that thought emphasizes and explains the common geometric options at the back of the definitions. within the booklet, options are illustrated with primary examples, and specific calculations convey how the structures of scheme thought are performed in perform.

This vintage textual content, written by way of one of many optimum mathematicians of the twentieth century, is now to be had in a reasonable paperback variation. Exposition is based at the foundations of affine geometry, the geometry of quadratic types, and the constitution of the overall linear workforce. Context is broadened by way of the inclusion of projective and symplectic geometry and the constitution of symplectic and orthogonal teams.

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