## Download e-book for kindle: Residues and duality for projective algebraic varieties by Ernst Kunz

By Ernst Kunz

ISBN-10: 0821847600

ISBN-13: 9780821847602

This e-book, which grew out of lectures by means of E. Kunz for college kids with a historical past in algebra and algebraic geometry, develops neighborhood and international duality thought within the specific case of (possibly singular) algebraic forms over algebraically closed base fields. It describes duality and residue theorems when it comes to Kahler differential kinds and their residues. The houses of residues are brought through neighborhood cohomology. targeted 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 ebook is meant as an creation to extra complex remedies and extra functions of the topic, to which a variety of bibliographical tricks are given