Moduli spaces and geometric invariant theory: old and new perspectives
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Publication:6607625
DOI10.1090/conm/803/16103MaRDI QIDQ6607625
Publication date: 18 September 2024
Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Stacks and moduli problems (14D23)
Cites Work
- Quotient spaces modulo algebraic groups
- Quotients by groupoids
- Lectures on moduli of curves. Notes by D. R. Gokhale
- Categorical quotients of certain algebraic group actions
- A relative Hilbert-Mumford criterion
- Towards non-reductive geometric invariant theory
- Geometric invariant theory and decorated principal bundles
- Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
- The invariants of unipotent radicals of parabolic subgroups
- Valuative criteria for families of vector bundles on algebraic varieties
- Reductive groups are geometrically reductive
- Versal deformations and algebraic stacks
- On the cohomology groups of moduli spaces of vector bundles on curves
- Reduction of symplectic manifolds with symmetry
- Geometric reductivity over arbitrary base
- Desingularizations of varieties of nullforms
- Instability in invariant theory
- On the Hodge structure of projective hypersurfaces in toric varieties
- Moduli of representations of the fundamental group of a smooth projective variety. I
- Algebraic homogeneous spaces and invariant theory
- Invariant rings and quasiaffine quotients
- Über die Invarianten von linearen Gruppen
- Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
- Variation of geometric invariant theory quotients and derived categories
- Introduction to moduli problems and orbit spaces
- Stability conditions in families
- Reductivity of the automorphism group of K-polystable Fano varieties
- A GIT interpretation of the Harder-Narasimhan filtration
- Some theorems on actions of algebraic groups
- On the Harder-Narasimhan filtration for finite dimensional representations of quivers
- Moduli stacks and invariants of semistable objects on \(K3\) surfaces
- Good moduli spaces for Artin stacks
- Invariants of a group in an affine ring
- Stable and unitary vector bundles on a compact Riemann surface
- Space of unitary vector bundles on a compact Riemann surface
- Quotient spaces modulo reductive algebraic groups
- On a theorem of Weitzenböck in invariant theory
- STRATIFICATIONS ASSOCIATED TO REDUCTIVE GROUP ACTIONS ON AFFINE SPACES
- GIT and moduli with a twist
- Constructing quotients of algebraic varieties by linear algebraic group actions
- Adequate moduli spaces and geometrically reductive group schemes
- A Stratification of the Null Cone Via the Moment Map
- Observable Groups and Hilbert's Fourteenth Problem
- Geometric Invariant Theory
- Geometric Quotients of Unipotent Group Actions
- MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
- Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves
- Stratifications for moduli of sheaves and moduli of quiver representations
- Quotients of unstable subvarieties and moduli spaces of sheaves of fixed Harder-Narasimhan type
- Geometric invariant theory for graded unipotent groups and applications
- Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants
- Wall-crossing implies Brill-Noether: Applications of stability conditions on surfaces
- The derived category of a GIT quotient
- On Unipotent Quotients and some -contractible Smooth Schemes
- On the 14-th Problem of Hilbert
- Geometric invariant theory and flips
- Projectivity of the moduli of curves
- Projectivity of the moduli space of vector bundles on a curve
- Algebraic theory of locally nilpotent derivations
- Existence of moduli spaces for algebraic stacks
- Moment maps and cohomology of non-reductive quotients
- Non-reductive geometric invariant theory and hyperbolicity
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