Tag: geometric-invariant-theory

21 When are GIT quotients projective? 2009-11-20T20:59:10.643

18 Why is the degree:rank ratio of a vector bundle called its "slope"? 2011-06-29T06:00:00.197

17 A line bundle that does not admit a G-linearisation 2012-10-10T16:43:11.483

13 Can a coequalizer of schemes fail to be surjective? 2009-10-02T05:33:06.257

13 Why and how are moduli spaces of (semi)stable vector bundles well-behaved? 2009-10-09T22:11:12.680

13 Bad Categorical Quotients 2009-10-16T21:04:32.313

12 Rationality of GIT quotients 2010-02-22T20:31:32.300

12 Is an affine "G-variety" with reductive stabilizers a toric variety? 2011-04-04T15:38:40.820

11 When Are Quotients Complete Intersections? 2010-04-21T05:48:19.637

11 Partial (or complete) flag varieties as GIT quotients of affine spaces 2013-08-21T04:15:44.850

11 Why is Mumford's GIT-quotient so effective? 2016-10-29T14:03:58.150

10 Resources on Invariant Theory 2009-10-07T02:57:10.287

10 Fukaya categories of hyperkahler reductions: general request for information 2009-12-13T22:17:12.593

10 Are GIT's good categorical quotients just locally ringed space coequalizers? 2011-03-28T09:10:07.060

10 Algorithms in Invariant Theory 2012-09-10T15:55:13.300

9 Toric varieties as quotients of affine space 2010-07-07T15:45:49.540

9 Invariants and stablizers for the $PGL(V)$ action on $End(V\otimes V)$ 2016-02-02T15:17:35.250

9 Is the dimension of $V//G$ always the same as the dimension of $V^*//G$? 2016-06-17T14:02:45.883

9 Semistability of tensor products under automorphisms of tensored vector spaces 2017-01-15T22:36:29.500

9 Progress since Luna's theorem on smooth invariants 2017-08-28T00:42:44.440

8 About the strength of representation-theoretic obstructions for orbit closure problems 2012-09-03T16:18:42.787

8 When is an orbit spherical? 2012-09-07T09:03:53.493

8 Why people usually consider reductive groups in GIT? 2014-01-20T16:50:27.703

8 Understanding the definition of the quotient stack $[X/G]$ 2014-03-03T21:37:00.340

8 Affine GIT is an open map? 2016-06-12T20:42:18.923

8 Geometric invariant theory and normalizers of stabilizers 2016-07-05T13:05:23.803

8 Interactions (functors) between equivariant sheaves for different groups? 2017-04-03T13:35:17.637

8 A duality result for Coxeter groups 2017-11-22T15:55:40.803

7 Hilbert-Mumford criterion and closedness 2011-06-07T18:10:13.993

7 Quotients by the additive group $\mathbb G_a$ 2014-08-09T10:48:27.870

7 Standard Monomial basis for other types 2017-04-07T22:06:12.417

6 Applications of non-reductive GIT 2010-07-08T15:33:02.543

6 Quotient of smooth algebraic variety by proper free action of algebraic group 2011-05-17T13:24:54.543

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

6 Stability conditions for coherent sheaves and GIT 2012-08-24T14:41:16.073

6 GIT quotients and automorphisms 2015-08-09T01:31:35.303

6 Kähler quotients of affine varieties and GIT 2016-04-13T12:16:21.507

6 Binary forms and equivariant derived category 2017-08-22T14:06:47.020

5 The canonical divisor of the Hilbert scheme $Hilb^n P^2$? 2011-02-18T15:30:12.790

5 If Spec(A) has a G-fixed point and a dense G-orbit, is Spec(A) a cone? 2011-03-31T07:03:20.873

5 Normalization of quotient stacks 2013-07-19T22:28:06.707

5 Coarse moduli spaces of quotient stacks 2013-07-22T22:36:48.440

5 When does a group action on a k-algebra induce an algebraic action on the spectrum? 2013-10-16T13:18:22.957

5 Finding relations between invariant polynomials 2013-12-05T15:19:44.207

5 A question about Marsden-Weinstein reduction theory 2014-04-27T15:53:24.810

5 Why we study Geometric invariant theory? 2015-05-03T15:57:27.843

5 Hilbert point and Hilbert stability 2015-05-14T16:21:54.060

5 Invariants of the maximal unipotent subgroup of GL(n) acting on the space of n by n matrices 2015-07-23T21:18:49.660

5 A criterion for orbits of complex reductive group to be closed 2016-04-30T09:04:03.587

5 Smooth quotients and separation of orbits 2016-10-06T20:03:05.617

5 Injectivity of a standard map in quiver representation 2017-04-15T02:18:27.510

5 Good quotients and coarse moduli spaces 2017-12-27T18:39:26.183

4 Near Trivial Quiver Varieties 2009-12-09T23:33:04.733

4 Components of variety of subalgebras 2010-06-10T06:28:54.083

4 Why can we define the moment map in this way (i.e. why is this form exact)? 2011-02-14T20:41:08.087

4 Verifying claims in the proof of the Rigidity Lemma (Mumford, GIT) 2012-01-18T23:35:50.180

4 affinization of T^*CP^n 2012-08-07T07:40:16.723

4 Action of k* on a variety induces grading? 2012-08-15T10:21:25.137

4 Quotient of affine space by cyclic permutation 2013-01-16T17:13:27.347

4 question about relative stable maps 2013-07-16T04:26:37.223

4 Scaling-Invariant Orbits of Semisimple Group Representations 2013-10-22T21:55:20.807

4 Quotient of a rational variety by a finite group 2013-12-10T20:16:27.740

4 Vector bundles on quotient variety 2016-10-02T12:04:53.953

4 Supposed generalization of $X/(G \times H)\simeq (X/G)/H$ for GIT-quotients 2016-10-18T20:32:29.407

4 The closure $\overline{Gx}$ for an affine variety on which an reductive algebraic group acts 2017-06-22T00:34:51.047

4 Invariants and subgroups 2017-12-10T22:13:28.110

3 When the affine quotient is faithfully flat? 2012-08-05T16:19:23.153

3 Lift of a morphism between geometric quotients 2012-09-06T13:55:13.867

3 Intersection theory for $G$-varieties - an action on the chow ring? 2012-10-17T16:05:10.813

3 degrees of the invariants for the action of $SL(V)$ on $\wedge^4V$ 2013-01-22T13:25:31.083

3 blow up of segre primal and $\mathcal{M}_{0,6}$ 2013-01-27T13:52:12.083

3 A quotient stack question 2014-03-28T00:33:22.017

3 Smoothness of fix point components of finite group action on smooth variety 2014-06-10T18:49:48.433

3 How does one show that slope stability of a vector bundle is an open condition with respect to the polarisation? 2014-07-17T16:05:14.953

3 Choosing a group action to do GIT of hypersurfaces 2015-09-23T16:47:10.303

3 Quotients of quasi affine varieties and extension of scalars 2016-03-19T18:30:06.553

3 How does grade projection act on homogeneous multivectors in geometric algebra? 2016-06-29T19:43:50.207

3 Can one construct the GIT quotient of a projective bundle? 2016-09-10T16:04:40.187

3 Is this quotient of a threefold known? What are its singularities? 2016-10-03T17:24:04.930

3 Categorical quotient of open subsets of affine varieties 2016-10-25T10:13:01.853

3 What are the scalar conformal invariants of weight -3/2 in 3 dimensions? 2017-02-18T04:46:55.563

3 Cohen-Macaulay rings in GIT 2017-03-16T20:28:31.957

3 Quotient of complex manifold by a free and locally proper action (difficulty with reading German) 2017-04-21T03:31:46.430

3 GIT quotient vs. largest Hausdorff quotient 2017-09-18T20:01:20.177

3 Topological criterion for GIT semistability 2017-12-12T10:34:59.620

2 Are irregular points of an action necessarily in the closure of a larger orbit? 2009-10-10T21:28:21.420

2 Quotient of variety by additive group separated? 2010-05-22T19:30:05.793

2 geometric quotient 2011-03-27T09:16:59.710

2 A simple problem on commutative algebra related to G.I.T 2011-08-21T19:28:06.647

2 Level n-structure as defined by Mumford in GIT 2012-03-09T16:38:23.690

2 When does a G-invariant one to one map between two closed algebraic G-set descend to a one to one map on the G.I.T quotient ? 2013-01-29T23:23:18.653

2 From algebraic group actions to group scheme actions 2015-06-20T04:44:00.430

2 Question about GIT: when is the map $\pi:X//_\theta G\rightarrow X//G$ birational? 2016-10-25T22:51:25.677

2 Categorical quotients for quasi-affine varieties 2017-03-08T21:02:50.100

2 Projective and Quasiprojective quotients 2017-03-15T20:02:31.717

2 Is $\widetilde M_{0, n}$ a Mori Dream space? 2017-03-28T09:57:05.740

2 Ring of invariants and Borel subgroup 2017-04-19T09:37:22.043

2 lines in projective spaces 2017-05-12T03:20:12.560

2 G-sweep of irreducible sub variety 2017-05-14T11:29:07.163