Tag: descent

37 What is descent theory? 2010-04-21T09:19:22.103

26 Cohomology of sheaves in different Grothendieck topologies 2010-04-03T18:09:59.103

22 "Why" are monadicity and descent related? 2015-12-06T13:04:00.847

19 Can we describe equivariant vector bundles of free group action in terms of descent theory (Barr-Beck theorem)? 2012-08-27T03:44:47.293

15 Descent of Higher categorical structures along geometric morphisms 2016-03-09T16:26:13.007

13 What is etale descent? 2009-11-27T20:39:08.090

13 Looking for reference talking about relationship between descent theory and cohomological descent 2010-02-10T11:16:02.027

13 Les deux théorèmes d'existence en théorie formelle des modules 2012-05-15T20:17:08.533

13 Descent of functions along finite birational morphisms 2014-06-21T13:15:37.417

13 Difficulties with descent data as homotopy limit of image of Čech nerve 2016-04-18T19:35:04.843

12 Frobenius Descent 2010-01-27T19:03:45.720

12 How is a descent datum the same as a comodule structure? 2013-12-02T03:53:09.100

11 Which simplicial objects are Čech nerves? 2016-05-01T13:25:24.520

10 Riccati differential equation and descent 2010-09-30T14:49:17.067

10 How does descent theory imply a sheaf is a scheme? 2012-11-20T22:38:40.563

10 Counter-example to faithfully flat descent 2013-04-12T13:23:58.673

9 Descent of closed subschemes over finite fields 2010-11-08T22:16:13.397

9 Homotopical descent information contained in the Dwyer-Kan function complexes of a presheaf category? 2010-12-06T00:57:15.663

9 What is descent data (of higher categories), conceptually? 2015-07-06T15:36:17.110

9 Reinterpreting Galois descent over finite fields 2015-10-19T01:52:16.593

9 Descent of sheaves under galois covering 2016-01-09T13:56:59.473

8 modular forms, invertible sheaves, and quotients 2014-08-09T10:36:45.940

8 A model category for descent? 2015-01-02T06:26:07.217

8 Pushouts of commutative pseudomonoids 2017-07-14T06:45:57.177

8 Galois descent for schemes over fields 2017-08-04T18:44:54.047

7 Schemes do not form a stack in the etale topology? 2011-08-05T03:24:49.723

7 fpqc stackification 2013-10-05T21:18:04.597

7 Which morphisms of ring spectra are of effective descent for modules? 2014-01-21T21:35:48.300

7 Descent along purely inseparable morphisms 2018-01-11T08:43:10.077

6 Does projectiveness descend along field extensions? 2009-10-20T21:58:06.617

6 Are associated bundles representable in schemes? 2011-08-05T06:15:53.983

6 References to SGA 8 and descent theory 2012-01-07T16:13:43.547

6 what is Deligne's cohomological descent (and what are some examples) 2013-03-09T21:46:34.313

6 Why does the first Cech cohomology classify twisted forms? 2013-12-23T23:42:20.783

6 English Reference for the Bénabou-Roubaud theorem 2017-08-19T11:22:52.127

6 When does a map of $\infty$-groupoids satisfy "Galois descent"? 2017-12-17T18:41:16.860

5 Weil's descent criteria for covers from the critereon for varieties? 2011-11-04T02:00:58.090

5 Higher Descent Cohomology 2013-12-19T22:37:46.373

5 Categorification of covering morphisms 2016-05-29T09:53:05.460

5 Expressing the stack of sheaves with 1-limits 2016-05-21T16:14:35.933

5 Algebraic model for the abelian category of descent data for modules in the non-affine case 2017-10-09T21:12:48.410

5 Descent of isomorphisms between irreducible closed subschemes 2018-02-11T00:27:56.177

4 Twisted forms and $\check{H}^1$ 2011-04-21T12:44:40.270

4 classify \mu_n torsors 2012-03-20T03:12:40.063

4 cech cohomology in topos 2013-01-29T19:50:51.203

4 Pure morphisms which are not faithfully flat 2013-12-26T23:10:09.287

4 Flat Connections on Ring Spectra 2015-03-03T16:03:18.967

4 Does the Amitsur complex have a universal property? 2016-02-24T11:56:25.127

4 Geometric intuition for the condition of Galois descent 2016-07-19T16:00:07.083

4 Descent theory, fibrations, and bundles 2017-01-03T16:22:49.247

4 Representable $\text{Hom}$ functors 2018-01-12T08:42:55.677

3 Simplifying the definition of a geometric context using sieves? 2010-03-15T05:49:18.960

3 Do coequalizers in RingSpc automatically lead to descent? 2010-09-07T12:03:23.457

3 Noetherian descent extension for a given ring 2011-11-27T16:40:17.817

3 Representable torsors on geometric groupoid 2014-06-04T16:35:47.633

3 Extending descent data from the special fiber of an extension of DVR's 2014-12-05T04:21:27.843

3 Is Carlos Simpson's Descent available online? 2015-12-01T03:53:32.900

3 "Frobenius Descent" 2017-12-19T20:29:40.033

2 Intersections of components of 'simple' ('local") Zariski coverings 2011-10-25T18:17:32.873

2 Classification of principal G-bundles over a differentiable stack 2011-12-07T14:01:27.450

2 A small detail in Neron Models (Bosch-Lütkebohmert-Raynaud) on descent theory 2012-07-01T07:02:52.443

2 Reference for cdh topology 2015-01-24T16:57:57.463

2 When does effective descent of modules hold? 2016-05-26T14:22:40.693

2 For a universal covering morphism $p:E\rightarrow B$, how to prove $E$ connected implies $B$ connected? 2016-06-16T20:39:30.960

2 Descent for Dualizable Modules 2016-12-03T05:54:51.590

2 Characterization of torsors which are locally trivial in terms of descent 2017-01-19T13:11:18.577

1 when a section descends? 2011-02-08T04:58:00.517

1 Galois cohomology of generic points of formal completions (of components of a hypercovering of the subvariety): examples or general statements? 2011-11-06T09:46:17.953

1 Descent of Morphisms of Sheaves 2012-05-09T21:12:12.427

1 Galois descent for semilinear endomorphisms 2013-03-26T15:46:54.143

1 On divisorial correspondences between curves 2013-03-27T16:34:33.543

1 Pullback as a local property 2013-11-10T22:14:48.780

1 Descend of etale morphism 2014-05-29T17:27:26.080

1 $\mathbb E$-descent maps in topological spaces in terms of different sites? 2016-05-11T15:32:31.507

1 Notation for largest universal subclass and class of arrows "locally in" a given class of arrows 2016-08-17T09:28:30.473

1 Neat applications of Galois descent? 2017-01-22T00:58:41.440

1 Choice free definition of category of descent data w.r.t a fibration? 2017-10-05T22:48:43.277

1 Does being big for a line bundle satisfy fpqc descent 2017-10-25T16:04:11.050

0 Ordered Cech(-like) complexes that compute etale cohomology (of fields!) 2011-10-18T10:27:59.193

0 descent of a complex of sheaves 2012-12-11T20:53:19.733

0 Descent datum for a line bundle 2014-09-27T03:21:54.207

0 Existence of $B$-reduction of a $G$-torsor on a curve 2016-02-01T10:28:49.500