Residues and duality for projective algebraic varieties
By: Ernst Kunz ; with the assistance of and contributions by David A. Cox and Alicia Dickenstein.
Series: University lecture series -- v. 47; University lecture series (Providence, R.I.) -- 47.
Publisher: American Mathematical Society
Published: 2008
Place of publication: Providence, R.I
Language: eng
Number of pages: 158
ISBN-13: 9780821847602
Subjects: Algebraic varieties; Geometry, Projective; Congruences and residues
Description: "This book, which grew out of lectures by E. Kunz for students with a background in algebra and algebraic geometry, develops local and global duality theory in the special case of (possibly singular) algebraic varieties over algebraically closed base fields. It describes duality and residue theorems in terms of Kahler differential forms and their residues. The properties of residues are introduced via local cohomology. Special emphasis is given to the relation between residues to classical results of algebraic geometry and their generalizations." "The contribution by A. Dickenstein gives applications of residues and duality to polynomial solutions of constant coefficient partial differential equations and to problems in interpolation and ideal membership, D.A. Cox explains toric residues and relates them to the earlier text." "The book is intended as an introduction to more advanced treatments and further applications of the subject, to which numerous bibliographical hints are given."--Jacket.
Notes: Includes bibliographical references (p. 151-154) and index.