By Ernst Kunz

This e-book, which grew out of lectures through E. Kunz for college kids with a historical past in algebra and algebraic geometry, develops neighborhood and international duality thought within the exact case of (possibly singular) algebraic types 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. particular emphasis is given to the relation among residues to classical result of algebraic geometry and their generalizations. The contribution through A. Dickenstein offers 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 booklet is meant as an advent to extra complex remedies and additional purposes of the topic, to which a variety of bibliographical tricks are given.

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