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LEADER: 02021nam a22002898a 4500
001 011761048-8
005 20130214124647.0
008 080904s2008 riu b 001 0 eng
010 $a 2008038860
020 $a9780821847602 (alk. paper)
035 0 $aocn249134180
040 $aDLC$cDLC
050 00 $aQA564$b.K86 2008
082 00 $a516.3/53$222
100 1 $aKunz, Ernst,$d1933-
245 10 $aResidues and duality for projective algebraic varieties /$cErnst Kunz ; with the assistance of and contributions by David A. Cox and Alicia Dickenstein.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$cc2008.
300 $axiii, 158 p. ;$c26 cm.
490 1 $aUniversity lecture series ;$vv. 47
504 $aIncludes bibliographical references (p. 151-154) and index.
520 1 $a"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.
650 0 $aAlgebraic varieties.
650 0 $aGeometry, Projective.
650 0 $aCongruences and residues.
830 0 $aUniversity lecture series (Providence, R.I.) ;$v47.
988 $a20081205
906 $0DLC