The GIT-equivalence for \(G\)-line bundles

DOI10.1023/A:1005275524522zbMath0955.14035arXivmath/9811053MaRDI QIDQ1580281

Nicolas Ressayre

Publication date: 21 February 2001

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9811053

zbMATH Keywords

geometric invariant theorychamberswallGIT-classesquotients for a reductive linear group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (21)

Polyhedral divisors and algebraic torus actions ⋮ On the complex structure of symplectic quotients ⋮ On differential operators on complete symmetric varieties of type \(A_1\) and \(A_2\) ⋮ The Mori program and Non-Fano toric Homological Mirror Symmetry ⋮ Symplectic implosion and nonreductive quotients ⋮ On embeddings of homogeneous spaces with small boundary ⋮ Quivers and moduli spaces of pointed curves of genus zero ⋮ Some conditions for descent of line bundles to GIT quotients \((G/B\times G/B\times G/B)//G\) ⋮ Geometric invariant theory and generalized eigenvalue problem. II ⋮ Relative VGIT and an application to degenerations of Hilbert schemes ⋮ GIT-cones and quivers ⋮ GIT-equivalence and semi-stable subcategories of quiver representations ⋮ Geometric invariant theory via Cox rings ⋮ GIT-equivalence beyond the ample cone ⋮ Variation of geometric invariant theory quotients and derived categories ⋮ A geometric approach to the stabilisation of certain sequences of Kronecker coefficients ⋮ Dimension of zero weight space: an algebro-geometric approach ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich) ⋮ Rings of invariants for representations of quivers. ⋮ GIT-equivalence and diagonal actions ⋮ Relative geometric invariant theory

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