Mumford, D.; Fogarty, J. Geometric invariant theory. 2nd enlarged ed. (English) Zbl 0504.14008 Ergebnisse der Mathematik und ihrer Grenzgebiete. 34. Berlin-Heidelberg-New York: Springer-Verlag. XII, 220 p. DM 74.00; $ 32.90 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 ReviewsCited in 273 Documents MSC: 14L24 Geometric invariant theory 14D20 Algebraic moduli problems, moduli of vector bundles 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 14K10 Algebraic moduli of abelian varieties, classification 14C05 Parametrization (Chow and Hilbert schemes) 14D22 Fine and coarse moduli spaces 14H55 Riemann surfaces; Weierstrass points; gap sequences 14H10 Families, moduli of curves (algebraic) 14H40 Jacobians, Prym varieties 20G15 Linear algebraic groups over arbitrary fields 14K25 Theta functions and abelian varieties 14L30 Group actions on varieties or schemes (quotients) Keywords:geometrically reductive linear algebraic group; finite generation of ring of invariants; stability of Chow form; polynomial ring of invariants; moduli problems; algebraic space; K3 surfaces; moduli of vector bundles; theoretical physics; compactifications of moduli spaces; theta functions; Schottky problem; Torelli theorem; higher Weierstrass points Citations:Zbl 0147.393; Zbl 0316.14016; Zbl 0406.14031; Zbl 0286.14014; Zbl 0289.14010; Zbl 0409.13004; Zbl 0363.14003; Zbl 0375.14013; Zbl 0359.14005; Zbl 0219.14024; Zbl 0372.35002; Zbl 0299.14014; Zbl 0316.14010; Zbl 0346.35025; Zbl 0386.35002; Zbl 0326.35011; Zbl 0366.10023; Zbl 0402.10028 × Cite Format Result Cite Review PDF