Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Stack_(mathematics)> ?p ?o }
Showing triples 1 to 89 of
89
with 100 triples per page.
- Stack_(mathematics) abstract "In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets. Stacks are used to formalise some of the main constructions of descent theory, and to construct fine moduli stacks when fine moduli spaces do not exist.Descent theory is concerned with generalisations of situations where geometrical objects (such as vector bundles on topological spaces) can be \"glued together\" when they are isomorphic (in a compatible way) when restricted to intersections of the sets in an open covering of a space. In more general set-up the restrictions are replaced with general pull-backs, and fibred categories form the right framework to discuss the possibility of such gluing. The intuitive meaning of a stack is that it is a fibred category such that \"all possible gluings work\". The specification of gluings requires a definition of coverings with regard to which the gluings can be considered. It turns out that the general language for describing these coverings is that of a Grothendieck topology. Thus a stack is formally given as a fibred category over another base category, where the base has a Grothendieck topology and where the fibred category satisfies a few axioms that ensure existence and uniqueness of certain gluings with respect to the Grothendieck topology.Stacks are the underlying structure of algebraic stacks (also called Artin stacks) and Deligne–Mumford stacks, which generalize schemes and algebraic spaces and which are particularly useful in studying moduli spaces. There are inclusions: schemes ⊆ algebraic spaces ⊆ Deligne–Mumford stacks ⊆ algebraic stacks ⊆ stacks.Edidin (2003) and Fantechi (2001) give a brief introductory accounts of stacks, Gómez (2001), Olsson (2007) and Vistoli (2005) give more detailed introductions, and Laumon & Moret-Bailly (2000) describes the more advanced theory.".
- Stack_(mathematics) wikiPageExternalLink stacks.math.columbia.edu.
- Stack_(mathematics) wikiPageExternalLink Stacks.pdf.
- Stack_(mathematics) wikiPageExternalLink what-is.pdf.
- Stack_(mathematics) wikiPageExternalLink index.php?pr_vo_det&key1=1287&key2=580&no_cache=1.
- Stack_(mathematics) wikiPageExternalLink mumford.html.
- Stack_(mathematics) wikiPageExternalLink index.html.
- Stack_(mathematics) wikiPageExternalLink item?id=MSMF_1964__2__R3_0.
- Stack_(mathematics) wikiPageExternalLink item?id=SB_1958-1960__5__299_0.
- Stack_(mathematics) wikiPageExternalLink item?id=PMIHES_1969__36__75_0.
- Stack_(mathematics) wikiPageID "13185596".
- Stack_(mathematics) wikiPageLength "21997".
- Stack_(mathematics) wikiPageOutDegree "47".
- Stack_(mathematics) wikiPageRevisionID "680858970".
- Stack_(mathematics) wikiPageWikiLink Algebraic_space.
- Stack_(mathematics) wikiPageWikiLink Categorical_quotient.
- Stack_(mathematics) wikiPageWikiLink Category:Algebraic_geometry.
- Stack_(mathematics) wikiPageWikiLink Category:Category_theory.
- Stack_(mathematics) wikiPageWikiLink Complex_number.
- Stack_(mathematics) wikiPageWikiLink Crelles_Journal.
- Stack_(mathematics) wikiPageWikiLink Deligne–Mumford_stack.
- Stack_(mathematics) wikiPageWikiLink Descent_(mathematics).
- Stack_(mathematics) wikiPageWikiLink Differentiable_stack.
- Stack_(mathematics) wikiPageWikiLink European_Congress_of_Mathematics.
- Stack_(mathematics) wikiPageWikiLink Fibred_category.
- Stack_(mathematics) wikiPageWikiLink Flat_topology.
- Stack_(mathematics) wikiPageWikiLink Formal_group.
- Stack_(mathematics) wikiPageWikiLink Genus_(mathematics).
- Stack_(mathematics) wikiPageWikiLink Gerbe.
- Stack_(mathematics) wikiPageWikiLink Glossary_of_algebraic_geometry.
- Stack_(mathematics) wikiPageWikiLink Grothendieck_topology.
- Stack_(mathematics) wikiPageWikiLink Inventiones_Mathematicae.
- Stack_(mathematics) wikiPageWikiLink Isomorphism.
- Stack_(mathematics) wikiPageWikiLink Large_cardinal.
- Stack_(mathematics) wikiPageWikiLink Mathematics.
- Stack_(mathematics) wikiPageWikiLink Modular_group.
- Stack_(mathematics) wikiPageWikiLink Moduli_of_algebraic_curves.
- Stack_(mathematics) wikiPageWikiLink Moduli_space.
- Stack_(mathematics) wikiPageWikiLink Moduli_stack_of_elliptic_curves.
- Stack_(mathematics) wikiPageWikiLink Moduli_stack_of_formal_group_laws.
- Stack_(mathematics) wikiPageWikiLink Moduli_stack_of_principal_bundles.
- Stack_(mathematics) wikiPageWikiLink Picard_group.
- Stack_(mathematics) wikiPageWikiLink Publications_Mathxc3xa9matiques_de_lIHxc3x89S.
- Stack_(mathematics) wikiPageWikiLink Pullback_(category_theory).
- Stack_(mathematics) wikiPageWikiLink Pursuing_Stacks.
- Stack_(mathematics) wikiPageWikiLink Quotient_stack.
- Stack_(mathematics) wikiPageWikiLink Scheme_(mathematics).
- Stack_(mathematics) wikiPageWikiLink Sheaf_(mathematics).
- Stack_(mathematics) wikiPageWikiLink Simplicial_presheaf.
- Stack_(mathematics) wikiPageWikiLink Smooth_topology.
- Stack_(mathematics) wikiPageWikiLink Springer_Science+Business_Media.
- Stack_(mathematics) wikiPageWikiLink Topological_space.
- Stack_(mathematics) wikiPageWikiLink Toric_stack.
- Stack_(mathematics) wikiPageWikiLink Universal_property.
- Stack_(mathematics) wikiPageWikiLink Upper_half-plane.
- Stack_(mathematics) wikiPageWikiLink Vector_bundle.
- Stack_(mathematics) wikiPageWikiLinkText "Stack (mathematics)".
- Stack_(mathematics) wikiPageWikiLinkText "Stack (mathematics)#Deligne–Mumford stacks".
- Stack_(mathematics) wikiPageWikiLinkText "Stacks".
- Stack_(mathematics) wikiPageWikiLinkText "algebraic stack".
- Stack_(mathematics) wikiPageWikiLinkText "algebraic stacks".
- Stack_(mathematics) wikiPageWikiLinkText "stack (mathematics)".
- Stack_(mathematics) wikiPageWikiLinkText "stack".
- Stack_(mathematics) wikiPageWikiLinkText "stacks".
- Stack_(mathematics) wikiPageWikiLinkText "stacky way".
- Stack_(mathematics) wikiPageWikiLinkText "stacky".
- Stack_(mathematics) quote "La conclusion pratique à laquelle je suis arrivé dès maintenant, c'est que chaque fois que en vertu de mes critères, une variété de modules pour la classification des variations de certaines structures ne peut exister, malgré de bonnes hypothèses de platitude, propreté, et non singularité éventuellement, la raison en est seulement l'existence d'automorphismes de la structure qui empêche la technique de descente de marcher.".
- Stack_(mathematics) source "Grothendieck's letter to Serre, 1959 Nov 5.".
- Stack_(mathematics) width "30.0".
- Stack_(mathematics) wikiPageUsesTemplate Template:Citation.
- Stack_(mathematics) wikiPageUsesTemplate Template:Cite_arXiv.
- Stack_(mathematics) wikiPageUsesTemplate Template:Cite_journal.
- Stack_(mathematics) wikiPageUsesTemplate Template:Harvs.
- Stack_(mathematics) wikiPageUsesTemplate Template:Harvtxt.
- Stack_(mathematics) wikiPageUsesTemplate Template:Nlab.
- Stack_(mathematics) wikiPageUsesTemplate Template:Quotebox.
- Stack_(mathematics) wikiPageUsesTemplate Template:Reflist.
- Stack_(mathematics) subject Category:Algebraic_geometry.
- Stack_(mathematics) subject Category:Category_theory.
- Stack_(mathematics) type Function.
- Stack_(mathematics) type Redirect.
- Stack_(mathematics) comment "In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets.".
- Stack_(mathematics) label "Stack (mathematics)".
- Stack_(mathematics) sameAs Q7595945.
- Stack_(mathematics) sameAs 스택_(수학).
- Stack_(mathematics) sameAs m.02zbnfj.
- Stack_(mathematics) sameAs Q7595945.
- Stack_(mathematics) wasDerivedFrom Stack_(mathematics)?oldid=680858970.
- Stack_(mathematics) isPrimaryTopicOf Stack_(mathematics).