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Titlebook: Algebraic Varieties; Mario Baldassarri Book 1956 Springer-Verlag Berlin Heidelberg 1956 Abstract algebra.Mathematica.algebra.algebraic geo

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发表于 2025-3-21 16:07:56 | 显示全部楼层 |阅读模式
期刊全称Algebraic Varieties
影响因子2023Mario Baldassarri
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学科分类Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
图书封面Titlebook: Algebraic Varieties;  Mario Baldassarri Book 1956 Springer-Verlag Berlin Heidelberg 1956 Abstract algebra.Mathematica.algebra.algebraic geo
影响因子Algebraic geometry has always been an ec1ectic science, with its roots in algebra, function-theory and topology. Apart from early resear­ ches, now about a century old, this beautiful branch of mathematics has for many years been investigated chiefly by the Italian school which, by its pioneer work, based on algebro-geometric methods, has succeeded in building up an imposing body of knowledge. Quite apart from its intrinsic interest, this possesses high heuristic value since it represents an essential step towards the modern achievements. A certain lack of rigour in the c1assical methods, especially with regard to the foundations, is largely justified by the creative impulse revealed in the first stages of our subject; the same phenomenon can be observed, to a greater or less extent, in the historical development of any other science, mathematical or non-mathematical. In any case, within the c1assical domain itself, the foundations were later explored and consolidated, principally by SEVERI, on lines which have frequently inspired further investigations in the abstract field. About twenty-five years ago B. L. VAN DER WAERDEN and, later, O. ZARISKI and A. WEIL, together with their s
Pindex Book 1956
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The Superficial Irregularity and Continuous Systems,tions, of the characteristic series of continuous systems. The chief tool is the theory of currents {see (IX, 3)}, though some of the topics could be treated by the methods of the preceding chapter {see . [3]}.
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The Abelian Varieties from the Algebraic Viewpoint; and Related Questions,mental ideas and general methods are chiefly due to A. . {see the treatises [b, c] of A. Weil} and whose applications are chiefly linked with the names of . {see Chow [6, 7, 8, 9]}, . {see . [3, 4, 5, 6, 7, 8]}, . {see . [1, 2]} and . {see . and . [1]}.
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Multimedia Systems and Applicationsmental ideas and general methods are chiefly due to A. . {see the treatises [b, c] of A. Weil} and whose applications are chiefly linked with the names of . {see Chow [6, 7, 8, 9]}, . {see . [3, 4, 5, 6, 7, 8]}, . {see . [1, 2]} and . {see . and . [1]}.
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Book 1956out a century old, this beautiful branch of mathematics has for many years been investigated chiefly by the Italian school which, by its pioneer work, based on algebro-geometric methods, has succeeded in building up an imposing body of knowledge. Quite apart from its intrinsic interest, this possess
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The Arithmetic Genus,2–81} and . {see . [21], Ch. III}, with a complement due to . {see . [1]}: the following exposition is chiefly modelled on .’s which is the most comprehensive, being applicable to .; nevertheless different and sometimes more far-reaching viewpoints of . are also referred to in the case where . is de
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The Abelian Varieties from the Algebraic Viewpoint; and Related Questions,see (XI, 2) ; the outstanding classical contributions are due to ., .;, ., ., . and .: see e. g. the report of .}: the Abelian varieties considered in an abstract, purely algebraic manner, have been investigated only recently, giving rise to a beautiful chapter in algebraic geometry, whose funda
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