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001371793 020__ $$z9781470441449 
001371793 020__ $$a9781470458102 (e-book)
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001371793 035__ $$a(OCoLC)1153270572
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001371793 1001_ $$aCarchedi, David Joseph,$$eauthor.
001371793 24510 $$aHigher orbifolds and deligne-mumford stacks as structured infinity-topoi /$$cDavid Joseph Carchedi.
001371793 264_1 $$aProvidence, RI :$$bAmerican Mathematical Society,$$c2020.
001371793 300__ $$a1 online resource (132 pages).
001371793 336__ $$atext$$btxt$$2rdacontent
001371793 337__ $$acomputer$$bc$$2rdamedia
001371793 338__ $$aonline resource$$bcr$$2rdacarrier
001371793 4901_ $$aMemoirs of the American Mathematical Society,$$x0065-9266 ;$$vVolume 264, Number 1282
001371793 504__ $$aIncludes bibliographical references.
001371793 506__ $$aAccess limited to authorized users.
001371793 520__ $$a"We develop a universal framework to study smooth higher orbifolds on the one hand and higher Deligne-Mumford stacks (as well as their derived and spectral variants) on the other, and use this framework to obtain a completely categorical description of which stacks arise as the functor of points of such objects. We choose to model higher orbifolds and Deligne-Mumford stacks as infinity-topoi equipped with a structure sheaf, thus naturally generalizing the work of Lurie (2004), but our approach applies not only to different settings of algebraic geometry such as classical algebraic geometry, derived algebraic geometry, and the algebraic geometry of commutative ring spectra as in Lurie (2004), but also to differential topology, complex geometry, the theory of supermanifolds, derived manifolds etc., where it produces a theory of higher generalized orbifolds appropriate for these settings. This universal framework yields new insights into the general theory of Deligne-Mumford stacks and orbifolds, including a representability criterion which gives a categorical characterization of such generalized Deligne-Mumford stacks. This specializes to a new categorical description of classical Deligne-Mumford stacks, a result sketched in Carchedi (2019), which extends to derived and spectral Deligne-Mumford stacks as well"--$$cProvided by publisher.
001371793 588__ $$aDescription based on print version record.
001371793 650_7 $$aAlgebraic geometry -- Families, fibrations -- Stacks and moduli problems.$$2msc
001371793 650_0 $$aToposes.
001371793 650_0 $$aOrbifolds.
001371793 650_0 $$aCategories (Mathematics)
001371793 655_0 $$aElectronic books
001371793 77608 $$iPrint version:$$aCarchedi, David Joseph.$$tHigher orbifolds and deligne-mumford stacks as structured infinity-topoi.$$dProvidence, Rhode Island ; American Mathematical Society [2020]$$z9781470441449 $$w(DLC) 2020024075 
001371793 830_0 $$aMemoirs of the American Mathematical Society ;$$vVolume 264, Number 1282.
001371793 852__ $$bebk
001371793 85640 $$3ProQuest Ebook Central Academic Complete $$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=6195971$$zOnline Access
001371793 909CO $$ooai:library.usi.edu:1371793$$pGLOBAL_SET
001371793 980__ $$aBIB
001371793 980__ $$aEBOOK
001371793 982__ $$aEbook
001371793 983__ $$aOnline