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LEADER: 03245cam a22003614a 4500
001 6956005
005 20221130195236.0
008 080904t20082008riua b 001 0 eng
010 $a 2008038860
020 $a9780821847602 (alk. paper)
020 $a0821847600 (alk. paper)
035 $a(OCoLC)ocn249134180
035 $a(OCoLC)249134180
035 $a(NNC)6956005
035 $a6956005
040 $aDLC$cDLC$dC#P$dOrLoB-B
050 00 $aQA564$b.K86 2008
082 00 $a516.3/53$222
100 1 $aKunz, Ernst,$d1933-$0http://id.loc.gov/authorities/names/n81139186
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,$c[2008], ©2008.
300 $axiii, 158 pages :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aUniversity lecture series ;$vv. 47
504 $aIncludes bibliographical references (p. 151-154) and index.
505 00 $g1.$tLocal Cohomology Functors -- $g2.$tLocal Cohomology of Noetherian Affine Schemes -- $g3.$tCech Cohomology -- $g4.$tKoszul Complexes and Local Cohomology -- $g5.$tResidues and Local Cohomology for Power Series Rings -- $g6.$tThe Cohomology of Projective Schemes -- $g7.$tDuality and Residue Theorems for Projective Space -- $g8.$tTraces, Complementary Modules, and Differents -- $g9.$tThe Sheaf of Regular Differential Forms on an Algebraic Variety -- $g10.$tResidues for Algebraic Varieties. Local Duality -- $g11.$tDuality and Residue Theorems for Projective Varieties -- $g12.$tComplete Duality -- $g13.$tApplications of Residues and Duality /$rAlicia Dickenstein -- $g14.$tToric Residues /$rDavid A. Cox.
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."--BOOK JACKET.
650 0 $aAlgebraic varieties.$0http://id.loc.gov/authorities/subjects/sh85003439
650 0 $aGeometry, Projective.$0http://id.loc.gov/authorities/subjects/sh85054157
650 0 $aCongruences and residues.$0http://id.loc.gov/authorities/subjects/sh85031123
830 0 $aUniversity lecture series (Providence, R.I.) ;$v47.$0http://id.loc.gov/authorities/names/n88540797
852 00 $bmat$hQA564$i.K86 2008