by Winfried Bruns, Udo Vetter
Publisher: Springer 1988
Number of pages: 244
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law.
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Theory of torus embeddings has find many applications. The point of the theory lies in its ability of translating meaningful algebra-geometric phenomena into very simple statements about the combinatorics of cones in affine space over the reals.
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The purpose of this text is to give an introduction to Grothendieck's theory of the fundamental group in algebraic geometry with the study of the fundamental group of an algebraic curve over an algebraically closed field of arbitrary characteristic.
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This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out.