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Item Details
| Title:
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RESIDUES AND DUALITY FOR PROJECTIVE ALGEBRAIC VARIETIES
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| By: |
Ernst Kunz, David A. Cox, Alicia Dickenstein |
| Format: |
Paperback |
| List price:
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£61.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821847600 |
| ISBN 13: |
9780821847602 |
| 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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