Descent theory of simple sheaves on C1-fields
نویسندگان
چکیده
منابع مشابه
Descent for Quasi-coherent Sheaves on Stacks
We give a homotopy theoretic characterization of sheaves on a stack and, more generally, a presheaf of groupoids on an arbitary small site C. We use this to prove homotopy invariance and generalized descent statements for categories of sheaves and quasi-coherent sheaves. As a corollary we obtain an alternate proof of a generalized change of rings theorem of Hovey.
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If one assumes k to have a discrete valuation, then descent theory for coherent sheaves is an old result of Gabber. Gabber’s method was extended to the general case by Bosch and Görtz [BG]. Our method is rather different from theirs (though both approaches do use Raynaud’s theory of formal models [BL1], [BL2], we use less of this theory). We think that our approach may be of independent interes...
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Fix a quasi-projective scheme X over a field of characteristic zero that is equipped with an action of a reductive algebraic group G. Fix a polarization H of X that linearizes the G-action. We give necessary and sufficient conditions for a G-equivariant coherent sheaf on X to descend to the GIT quotient X/G, or for a bounded-above complex of G-equivariant coherent sheaves on X to be G-equivaria...
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Fix a quasi-projective scheme X over a field of characteristic zero that is equipped with an action of a reductive algebraic group G. Fix a polarization H of X that linearizes the G-action. We give necessary and sufficient conditions for a G-equivariant coherent sheaf on X to descend to the GIT quotient X/G, or for a bounded-above complex of G-equivariant coherent sheaves on X to be G-equivaria...
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We notice that, for branes wrapped on complex analytic subvarieties, the algebraic-geometric version of K-theory makes the identification between brane-antibrane pairs and lower-dimensional branes automatic. This is because coherent sheaves on the ambient variety represent gauge bundles on subvarieties, and they can be put in exact sequences (pro-jective resolutions) with sheaves corresponding ...
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ژورنال
عنوان ژورنال: Revista Matemática Contemporânea
سال: 2020
ISSN: 2317-6636
DOI: 10.21711/231766362020/rmc474