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000845674 019__ $$a1049908990
000845674 020__ $$a9783319916262$$q(electronic book)
000845674 020__ $$a3319916262$$q(electronic book)
000845674 020__ $$z9783319916255
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000845674 035__ $$aSP(OCoLC)on1049568221
000845674 035__ $$aSP(OCoLC)1049568221$$z(OCoLC)1049908990
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000845674 1112_ $$aPIMS Superschool School for Dervied Categories and D-Branes$$d(2016 :$$cEdmonton, Alta.)
000845674 24510 $$aSuperschool on derived categories and d-branes :$$bEdmonton, Canada, July 17-23, 2016 /$$cMatthew Ballard, Charles Doran, David Favero, Eric Sharpe, editors.
000845674 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000845674 300__ $$a1 online resource.
000845674 336__ $$atext$$btxt$$2rdacontent
000845674 337__ $$acomputer$$bc$$2rdamedia
000845674 338__ $$aonline resource$$bcr$$2rdacarrier
000845674 4901_ $$aSpringer proceedings in mathematics & statistics ;$$vvolume 240
000845674 504__ $$aIncludes bibliographical references.
000845674 5050_ $$aIntro; Preface; References; Contents; Symbols for "Abelian and Triangulated Categories"; Part I Derived Categories and Related Topics in Algebraic Geometry; Abelian and Triangulated Categories; 1 Preface; 2 Introduction; 3 Additive Categories; 3.1 Definition of Additive Categories; 3.2 k-Linear Categories; 3.3 Additive Functors; 4 Abelian Categories; 4.1 Some Category Theory; 4.2 Definition of Abelian Categories; 4.3 Examples; 5 Triangulated Categories; 5.1 Some More Category Theory; 5.2 Definition of Triangulated Categories; 5.3 Axioms; 5.4 Results about Triangulated Categories; References
000845674 5058_ $$aDerived Categories and Derived Functors1 Category of Complexes and Homotopy Category; 2 Defining the Derived Category; 3 Derived Category as a Triangulated Category; 4 Equivalence Between Homotopy Category of Injectives in mathcalA and the Derived Category D(mathcalA); 5 Derived Functors; References; Introduction to Quivers; 1 Quivers and Path Algebras; 2 The Category of Quiver Representations; 3 Bound Quivers; References; Semi-orthogonal Decompositions of Derived Categories; 1 Preliminaries; 2 Two Classes of Examples; 2.1 Derived Categories of Bound Quivers Db(Q,I)
000845674 5058_ $$a2.2 Derived Categories of Coherent Sheaves Db(X)2.3 Actions on SODs; 2.4 More Examples; 3 Connections; References; Introduction to Stability Conditions; 1 Motivation; 2 Definition of Stability; 2.1 Example: mathbbP1; 2.2 Definition; 3 Examples; 3.1 Curves; 3.2 Quivers; 3.3 Surfaces, Threefolds, and Higher Dimensional Varieties; References; A Brief Introduction to Geometric Invariant Theory; 1 Introduction; 2 Reductive Groups; 3 Group Quotients; 4 Linearization of an Invertible Sheaf; 5 Semi-Stability and the First Main Theorem of GIT; 6 The Numerical Criterion
000845674 5058_ $$a7 Stratifying the Unstable LocusReferences; Birational Geometry and Derived Categories; References; Part II Approaches to Mirror Symmetry; Introduction to Mirror Symmetry; 1 A Guide to the References; 2 Review of Differential Forms and Complex Geometry; 2.1 Differential Topology; 2.2 Complex Geometry; 3 Kähler Geometry; 3.1 Definition and Examples; 3.2 Hodge Theory; 4 Mirror Symmetry and Calabi-Yau Manifolds; 4.1 Statement of Mirror Symmetry; 4.2 Calabi-Yau Manifolds; 4.3 Mirror Symmetry for Simply Connected Calabi-Yau 3-Folds; 5 Canonical Example: The Quintic Threefold; References
000845674 5058_ $$aBatyrev Mirror Symmetry1 Introduction; 2 Polar Duality of Lattice Polytopes; 3 Varieties from Lattice Polytopes; 4 Batyrev's Construction; 5 The Quintic Threefold; 6 Further Developments; References; Introduction to Differential Graded Categories; 1 Motivation; 2 Definitions; 2.1 dg Categories; 2.2 The dg Category of R-Modules; 3 Triangulated Structures and dg Categories; 4 Functor Categories and Modules over dg Categories; 4.1 The Category of dg Categories; 4.2 Modules over dg Categories; 4.3 The Yoneda Embedding; 4.4 The dg Derived Category; 5 Additive Invariants
000845674 506__ $$aAccess limited to authorized users.
000845674 588__ $$aOnline resource; title from PDF title page (viewed August 27, 2018).
000845674 650_0 $$aMirror symmetry$$vCongresses.
000845674 650_0 $$aString models$$vCongresses.
000845674 7001_ $$aBallard, Matthew Robert,$$d1980-$$eeditor.
000845674 7001_ $$aDoran, Charles F.,$$d1971-$$eeditor.
000845674 7001_ $$aFavero, David,$$eeditor.
000845674 7001_ $$aSharpe, Eric R.,$$d1970-$$eeditor.
000845674 77608 $$iPrint version: $$z3319916254$$z9783319916255$$w(OCoLC)1031315997
000845674 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 240.
000845674 852__ $$bebk
000845674 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-91626-2$$zOnline Access$$91397441.1
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000845674 980__ $$aBIB
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