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Item Details
Title: RESIDUES AND DUALITY FOR PROJECTIVE ALGEBRAIC VARIETIES
By: Ernst Kunz, David A. Cox, Alicia Dickenstein
Format: Paperback

List price: £61.00
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ISBN 10: 0821847600
ISBN 13: 9780821847602
Availability: Publisher out of stock. This item may be subject to delays or cancellation.
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Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 2008
Edition: New ed.
Series: University Lecture Series v. 47
Pages: 158
Description: Develops local and global duality theory in the special case of (possibly singular) algebraic varieties over algebraically closed base fields. This book describes duality and residue theorems in terms of Kahler differential forms and their residues.
Synopsis: 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.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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DIE WERTEHALBGRUPPE EINES LOKALEN RINGS DER DIMENSION I (PB)
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IDEALS, VARIETIES, AND ALGORITHMS (HB)
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INTRODUCTION TO COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY (HB)
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INTRODUCTION TO PLANE ALGEBRAIC CURVES (PB)
KUNZ: KAHLER - *DIFFERENTIALS* (PR ONLY) (PB)
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