By Jürgen Stückrad
Da die algebraische Geometrie wesentlich vom Fundamentalsatz der Algebra ausgeht, den guy nur deshalb in der gewohnten aUgemeinen shape aussprechen kann, weil guy dabei die Vielfachheit der Losungen in Betracht zieht, so mull guy auch bei jedem Resultat der algebra is chen Geometrie beim Zuriickschreiten die gemeinsame QueUe wiederfinden. Das ware aber nicht mehr moglich, wenn guy auf dem Wege das Werkzeug verlore, welches den Fundamentalsatz fruchtbar uud bedeutungsreich macht. Francesco Severi Abh. Math. Sem. Hansischen Univ. 15 (1943), p. a hundred This publication describes interactions among algebraic geometry, commutative and homo logical algebra, algebraic topology and combinatorics. the most item of research are Buchsbaum jewelry. the fundamental underlying suggestion of a Buchsbaum ring is a continuation of the well known notion of a Cohen-Macaulay ring, its necessity being created by means of open questions of algebraic geometry and algebraic topology. the idea of Buchsbaum jewelry began from a adverse solution to an issue of David A. Buchsbaum. the concept that of this concept was once brought in our joint paper released in 1973.
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