A First Course In Algebraic Geometry And Algebraic Varieties

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A First Course In Algebraic Geometry And Algebraic Varieties is written by Flaminio Flamini and published by World Scientific. It's available with International Standard Book Number or ISBN identification 1800612672 (ISBN 10) and 9781800612679 (ISBN 13).

This book provides a gentle introduction to the foundations of Algebraic Geometry, starting from computational topics (ideals and homogeneous ideals, zero loci of ideals) up to increasingly intrinsic and abstract arguments, such as 'Algebraic Varieties', whose natural continuation is a more advanced course on the theory of schemes, vector bundles, and sheaf-cohomology.Valuable to students studying Algebraic Geometry and Geometry, this title contains around 60 exercises (with solutions) to help students thoroughly understand the theories introduced in the book. Proofs of the results are carried out in full detail. Many examples are discussed in order to reinforce the understanding of both the theoretical elements and their consequences, as well as the possible applications of the material.