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Titlebook: Algebraic Geometry and Commutative Algebra; Siegfried Bosch Textbook 20131st edition Springer-Verlag London 2013 Hilbert’s Nullstellensatz

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樓主
發(fā)表于 2025-3-21 19:38:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebraic Geometry and Commutative Algebra
影響因子2023Siegfried Bosch
視頻videohttp://file.papertrans.cn/153/152610/152610.mp4
發(fā)行地址Explains schemes in algebraic geometry from a beginner‘s level up to advanced topics such as smoothness and ample invertible sheaves.Is self-contained and well adapted for self-study.Includes prerequi
學(xué)科分類Universitext
圖書封面Titlebook: Algebraic Geometry and Commutative Algebra;  Siegfried Bosch Textbook 20131st edition Springer-Verlag London 2013 Hilbert’s Nullstellensatz
影響因子.Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry, like algebraic number theory. The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor..The scheme-theoretic approach to algebraic geometry is explained for non-experts. More advanced readers can use the book to broaden their view on the subject. A separate part deals with the necessary prerequisites from commutative algebra. On a whole, the book provides a very accessible and self-contained introduction to algebraic geometry, up to a quite advanced level..Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is
Pindex Textbook 20131st edition
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沙發(fā)
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Algebraic Geometry and Commutative Algebra978-1-4471-4829-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
地板
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https://doi.org/10.1057/9780230118898 to be . and to admit a .. The subjects that are covered include ideals and radicals, the localization process for rings and modules, various finiteness conditions and, as technical tools, Nakayama’s Lemma and the Snake Lemma.
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The Theory of Noetherian Ringster is to show that the Noetherian hypothesis, as simple as it might look, nevertheless has deep impacts on the structure of ideals and their inclusions, such as the existence of . and, as a culminating point, the theory of ..
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Springer-Verlag London 2013
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