MARC Record from marc_columbia

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008 130211t20122012sz a ob 000 0 eng d
035 $a(OCoLC)ocn827788991
035 $a(NNC)16056824
040 $aCOO$beng$erda$cCOO$dOSU$dOCLCQ$dOCLCF$dOCLCO$dOCLCQ$dOCLCO$dOCLCA$dYDXCP$dNOC$dLLB$dOCL$dN$T$dSTF$dINT$dOCLCQ$dOCLCO
019 $a1030555978
020 $z9783037191156
020 $z3037191155
020 $a9783037196151$qelectronic book
020 $a3037196157$qelectronic book
024 70 $a10.4171/115$2doi
035 $a(OCoLC)827788991$z(OCoLC)1030555978
050 4 $aQA169$b.D47 2012eb
072 7 $aMAT$x002040$2bisacsh
072 7 $aPBMW$2bicssc
082 04 $a512/.64$223
084 $a14-xx$a13-xx$a16-xx$2msc
049 $aZCUA
245 00 $aDerived categories in algebraic geometry :$bTokyo 2011 /$cYujiro Kawamata, editor.
264 1 $aZürich, Switzerland :$bEuropean Mathematical Society,$c[2012]
264 4 $c©2012
300 $a1 online resource (viii, 346 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aSeries of congress reports
504 $aIncludes bibliographical references.
588 0 $aOnline resource; title from PDF title page (European Mathematical Society, viewed March 28, 2013).
505 00 $tCategorical representability and intermediate Jacobians of Fano threefolds /$rMarcello Bernardara, Michele Bolognesi --$tFourier-Mukai functors: a survey /$rAlberto Canonaco, Paolo Stellari --$tFlops and about: a guide /$rSabin Cautis --$tA note on derived categories of Fermat varieties /$rAkira Ishii, Kazushi Ueda --$tHomology of infinite loop spaces /$rDmitry Kaledin --$tCluster algebras and derived categories /$rBernhard Keller --$tSome derived equivalences between noncommutative schemes and algebras /$rIzuru Mori --$tLagrangian-invariant sheaves and functors for abelian varieties /$rAlexander Polishchuk --$tGeneric vanishing filtrations and perverse objects in derived categories of coherent sheaves /$rMihnea Popa --$tThe fundamental group is not a derived invariant /$rChristian Schnell --$tIntroduction and open problems of Donaldson-Thomas theory /$rYukinobu Toda --$tNotes on formal deformations of abelian categories /$rMichel Van den Bergh.
520 $aThe study of derived categories is a subject that attracts increasingly many young mathematicians from various fields of mathematics, including abstract algebra, algebraic geometry, representation theory and mathematical physics. The concept of the derived category of sheaves was invented by Grothendieck and Verdier in the 1960s as a tool to express important results in algebraic geometry such as the duality theorem. In the 1970s, Beilinson, Gelfand and Gelfand discovered that a derived category of an algebraic variety may be equivalent to that of a finite dimensional non-commutative algebra, and Mukai found that there are non-isomorphic algebraic varieties that have equivalent derived categories. In this way the derived category provides a new concept that has many incarnations. In the 1990s, Bondal and Orlov uncovered an unexpected parallelism between derived categories and birational geometry. Kontsevich's homological mirror symmetry provided further motivation for the study of derived categories. This book is the proceedings of a conference held at the University of Tokyo in January 2011 on the current status of the research on derived categories related to algebraic geometry. Most articles are survey papers on this rapidly developing field. The book is suitable for young mathematicians who want to enter this exciting field. Some basic knowledge of algebraic geometry is assumed.
650 0 $aTriangulated categories.
650 6 $aCatégories triangulées.
650 07 $aAlgebraic geometry.$2bicssc
650 7 $aMATHEMATICS / Algebra / Intermediate.$2bisacsh
650 7 $aTriangulated categories.$2fast$0(OCoLC)fst01762426
650 07 $aAlgebraic geometry.$2msc
650 07 $aCommutative rings and algebras.$2msc
650 07 $aAssociative rings and algebras.$2msc
655 4 $aElectronic books.
700 1 $aKawamata, Yūjirō,$d1952-$eeditor.
776 08 $iPrint version:$tDerived categories in algebraic geometry.$d[S.l.] : Amer Mathematical Society, 2012$z3037191155$w(OCoLC)823209445
830 0 $aEMS series of congress reports.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16056824$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS