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Titlebook: Basic Algebraic Geometry 1; Varieties in Project Igor R. Shafarevich Textbook 2013Latest edition Springer-Verlag Berlin Heidelberg 2013 alg

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期刊全称Basic Algebraic Geometry 1
期刊简称Varieties in Project
影响因子2023Igor R. Shafarevich
视频video
发行地址Elementary introduction.Author is one of the pioneers in the subject.Author is outstanding mathematics writer.Includes supplementary material:
图书封面Titlebook: Basic Algebraic Geometry 1; Varieties in Project Igor R. Shafarevich Textbook 2013Latest edition Springer-Verlag Berlin Heidelberg 2013 alg
影响因子.Shafarevich‘s Basic Algebraic Geometry has been a classic and universally used introduction  to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.‘‘ The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles..Shafarevich‘s book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field..
Pindex Textbook 2013Latest edition
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Basic Notionsnate ring and the latter the field of rational functions. The notions of products of varieties and their dimension are discussed. In addition to definitions and their basic corollaries, proofs of several nontrivial results are given, including properness and dimensions of intersections.
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Intersection Numbersar or algebraic equivalence. A first aim is a rigorous treatment of Bézout’s theorem for the intersection of two curves in the plane. Algebraic cycle class groups and their intersection theory play a role analogous to homology and cohomology in the topology of manifolds. A number of topics are discu
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