Moduli spaces of decomposable morphisms of sheaves and quotients by non-reductive groups.

DOI10.5802/aif.1941zbMath1034.14023arXivmath/9805059OpenAlexW2952036179MaRDI QIDQ1864243

Jean-Marc Drézet, Guenther Trautmann

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805059

zbMATH Keywords

geometric invariant theorypolarizationmoduli spacesgood quotientsgeometric quotientnon-reductive groupsactions on coherent sheaves

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Algebraic moduli problems, moduli of vector bundles (14D20)

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Uses Software

• GiANT

Cites Work

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• Quotient spaces modulo algebraic groups
• On the Chow ring of a geometric quotient
• Cohomologie des variétés de modules de hauteur nulle. (Cohomology of moduli varieties of height zero)
• Extremal moduli varieties of semistable sheaves over \(\mathbb{P}_ 2(\mathbb{C})\)
• Lectures on introduction to moduli problems and orbit spaces
• Variétés de modules alternatives. (Alternative moduli varieties.)
• The moduli scheme \(M(0,2,4)\) over \(\mathbb{P}_ 3\)
• Open subsets of projective spaces with a good quotient by an action of a reductive group
• Fibrés stables et fibrés exceptionnels sur $\mathbb{P}_2$
• Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur P2 ( C ).
• Moduli extremer reflexiver Garben auf P.
• Invariant Theory
• General Representations of Quivers
• SEMISTABLE SHEAVES ON A TWO-DIMENSIONAL QUADRIC, AND KRONECKER MODULES
• QUOTIENTS ALGÉBRIQUES PAR DES GROUPES NON RÉDUCTIFS ET VARIÉTÉS DE MODULES DE COMPLEXES
• Geometric Quotients of Unipotent Group Actions
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• A recipe for finding open subsets of vector spaces with a good quotient
• Some Moduli Spaces for Rank 2 Stable Reflexive Sheaves on P 3
• Espaces abstraits de morphismes et mutations
• Geometric invariant theory and flips