By Ernst Kunz
This booklet, which grew out of lectures by means of E. Kunz for college students with a historical past in algebra and algebraic geometry, develops neighborhood and worldwide duality conception within the detailed case of (possibly singular) algebraic forms over algebraically closed base fields. It describes duality and residue theorems by way of Kahler differential varieties and their residues. The homes of residues are brought through neighborhood cohomology. designated emphasis is given to the relation among residues to classical result of algebraic geometry and their generalizations. The contribution through A. Dickenstein provides purposes of residues and duality to polynomial strategies of continuous coefficient partial differential equations and to difficulties in interpolation and perfect club. D. A. Cox explains toric residues and relates them to the sooner textual content. The e-book is meant as an creation to extra complex remedies and extra purposes of the topic, to which various bibliographical tricks are given.
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