Group Theory

Download E-books Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology PDF

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.

Show description

Read Online or Download Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology PDF

Similar Group Theory books

Statistical Applications of Jordan Algebras (Lecture Notes in Statistics)

This monograph brings jointly my paintings in mathematical facts as i've got considered it throughout the lens of Jordan algebras. 3 technical domain names are to be obvious: purposes to random quadratic types (sums of squares), the research of algebraic simplifications of maxi­ mum chance estimation of patterned covariance matrices, and a extra broad­ open mathematical exploration of the algebraic area from which i've got drawn the consequences utilized in the statistical difficulties simply pointed out.

Representation Theory: A First Course (Graduate Texts in Mathematics)

The first target of those lectures is to introduce a newbie to the finite­ dimensional representations of Lie teams and Lie algebras. because this aim is shared by means of a variety of different books, we must always clarify during this Preface how our procedure differs, even supposing the aptitude reader can most likely see this higher via a brief flick through the ebook.

Group Theory and Its Application to Physical Problems (Dover Books on Physics)

"A remarkably intelligible survey . . . good geared up, good written and extremely transparent all through. " — Mathematical ReviewsThis first-class textual content, lengthy certainly one of the best-written, such a lot skillful expositions of staff conception and its actual purposes, is directed basically to complicated undergraduate and graduate scholars in physics, particularly quantum physics.

Extra resources for Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology

Show sample text content

Rated 4.78 of 5 – based on 9 votes