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Ideals and Reality: Projective Modules and Number of Generators of Ideals (Repost)

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Ideals and Reality: Projective Modules and Number of Generators of Ideals (Repost)

Ideals and Reality: Projective Modules and Number of Generators of Ideals by Friedrich Ischebeck
English | PDF | 2005 | 339 Pages | ISBN : 3540230327 | 14.42 MB

This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The central topic of the book is the question of whether a curve in $n$-space is as a set an intersection of $(n-1)$ hypersurfaces, depicted by the central theorems of Ferrand, Szpiro, Cowsik-Nori, Mohan Kumar, Boratýnski.

Introduction to Algebraic Geometry

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Introduction to Algebraic Geometry

Introduction to Algebraic Geometry by Igor Kriz
English | PDF,EPUB | 2021 | 481 Pages | ISBN : 3030626431 | 20 MB

The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. In many places, analogies and differences with related mathematical areas are explained.