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GIT quotient
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In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec A {\displaystyle X=\operatornamePolyhedral complex (318 words) [view diff] exact match in snippet view article find links to article
Bayer, David; Morrison, Ian (1988). "Standard bases and geometric invariant theory I. Initial ideals and state polytopes". Journal of Symbolic ComputationGröbner fan (265 words) [view diff] exact match in snippet view article find links to article
Bayer, David; Morrison, Ian (1988). "Standard bases and geometric invariant theory I. Initial ideals and state polytopes". Journal of Symbolic ComputationHochster–Roberts theorem (280 words) [view diff] exact match in snippet view article find links to article
MR 0347810. Mumford, David; Fogarty, John; Kirwan, Frances (1994), Geometric invariant theory. Third edition., Ergebnisse der Mathematik und ihrer GrenzgebieteLevel structure (algebraic geometry) (776 words) [view diff] exact match in snippet view article
ISBN 978-1-4008-3720-5. Mumford, David; Fogarty, J.; Kirwan, F. (1994). Geometric invariant theory. Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [ResultsC. S. Seshadri (763 words) [view diff] case mismatch in snippet view article find links to article
Narasimhan–Seshadri theorem has influenced the field. His work on Geometric Invariant Theory and on Schubert varieties, in particular his introduction of standardNolan Wallach (1,055 words) [view diff] case mismatch in snippet view article find links to article
and invariants, Graduate Texts in Mathematics, Springer 2009 Geometric Invariant Theory: Over the Real and Complex Numbers, Universitext, Springer 2017Teo Mora (1,432 words) [view diff] exact match in snippet view article find links to article
ISBN 978-3-540-16776-1. David Bayer; Ian Morrison (1988). "Standard bases and geometric invariant theory I. Initial ideals and state polytopes". Journal of Symbolic ComputationSimon Donaldson (2,039 words) [view diff] exact match in snippet view article find links to article
1090/S0273-0979-1983-15090-5. MR 0682827. ——— (1984b). "Instantons and geometric invariant theory". Comm. Math. Phys. 93 (4): 453–460. Bibcode:1984CMaPh..93..453DMomentum map (2,215 words) [view diff] exact match in snippet view article find links to article
Press, ISBN 0-521-38990-9 Woodward, Chris (2010), Moment maps and geometric invariant theory, Les cours du CIRM, vol. 1, EUDML, pp. 55–98, arXiv:0912.1132Glossary of symplectic geometry (554 words) [view diff] exact match in snippet view article find links to article
ISBN 0-521-24866-3. Woodward, Christopher T. (2011), Moment maps and geometric invariant theory, arXiv:0912.1132, Bibcode:2009arXiv0912.1132W http://arxiv.org/pdf/1409Equivariant sheaf (1,463 words) [view diff] case mismatch in snippet view article find links to article
(1994). Mumford, David; Fogarty, John; Kirwan, Frances (1994). Geometric Invariant Theory. Berlin: Springer-Verlag. ISBN 978-3-540-56963-3. MR 1304906.Chow variety (2,177 words) [view diff] exact match in snippet view article find links to article
Press Mumford, David; Fogarty, John; Kirwan, Frances (1994). Geometric invariant theory. Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [ResultsModuli of algebraic curves (3,701 words) [view diff] exact match in snippet view article find links to article
Mumford, David; Fogarty, John; Kirwan, Frances Clare (1994). Geometric invariant theory (3rd enl. ed.). Berlin: Springer-Verlag. ISBN 3-540-56963-4. MR 1304906Quot scheme (2,273 words) [view diff] case mismatch in snippet view article find links to article
(X,{\mathcal {L}}))} Hoskins, Victoria. "Moduli Problems and Geometric Invariant Theory" (PDF). pp. 68, 74–85. Archived (PDF) from the original on 1 MarchList of conjectures (1,461 words) [view diff] exact match in snippet view article find links to article
for semisimple groups 1975 William Haboush Mumford conjecture geometric invariant theory Haboush's theorem 1976 Kenneth Appel and Wolfgang Haken Four colorInstanton (6,385 words) [view diff] exact match in snippet view article find links to article
construction, or hyperkähler reduction (see hyperkähler manifold), a geometric invariant theory procedure. The groundbreaking work of Simon Donaldson, for whichSavilian Professor of Geometry (2,550 words) [view diff] exact match in snippet view article find links to article
research interests include moduli spaces in algebraic geometry, geometric invariant theory (GIT), and in the link between GIT and moment maps in symplecticGlossary of algebraic topology (7,621 words) [view diff] exact match in snippet view article find links to article
algebraic group G (e.g., a reductive complex Lie group) is the geometric invariant theory quotient by G: X ( π , G ) = Hom ( π , G ) / / G {\displaystyle