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Titlebook: Basic Algebraic Geometry 1; Igor R. Shafarevich Textbook 19942nd edition Springer-Verlag Berlin Heidelberg 1994 Algebraic Geometry.Algebra

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期刊全称Basic Algebraic Geometry 1
影响因子2023Igor R. Shafarevich
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发行地址Elementary introduction.Author is one of the pioneers in the subject.Author is outstanding mathematics writer
图书封面Titlebook: Basic Algebraic Geometry 1;  Igor R. Shafarevich Textbook 19942nd edition Springer-Verlag Berlin Heidelberg 1994 Algebraic Geometry.Algebra
影响因子The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus. The 15 years that have elapsed since the first edition have seen the appear­ ance of many beautiful books treating various branches of algebraic geometry. However, as far as I know, no other author has been attracted to the aim which this book set itself: to give an overall view of the many varied aspects of algebraic geometry, without going too far afield into the different theories. There is thus scope for a second edition. In preparing this, I have included some additional material, rather varied in nature, and have made some small cuts, but the general character of the book remains unchanged.
Pindex Textbook 19942nd edition
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https://doi.org/10.1007/978-3-540-88835-2This chapter investigates local properties of points of algebraic varieties, that is, properties of points . ∈ . that remain unchanged if . is replaced by any neighbourhood of .. Since any point has an affine neighbourhood, in the study of local properties of points we can restrict ourselves to affine varieties
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Basic Notions,Chapter I discusses a number of the basic ideas of algebraic geometry; this first section treats some examples to prepare the ground for these ideas.
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Local Properties,This chapter investigates local properties of points of algebraic varieties, that is, properties of points . ∈ . that remain unchanged if . is replaced by any neighbourhood of .. Since any point has an affine neighbourhood, in the study of local properties of points we can restrict ourselves to affine varieties
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