希爾伯特第十四問題

歷史

${\displaystyle R:=k[X_{1},\ldots X_{n}]^{G}=\{f\in k[X_{1},\ldots X_{n}]:\forall g\in G,g\cdot f=f\}}$

參考文獻

• W.J. Haboush, Reductive groups are geometrically reductive Ann. of Math. , 102 (1975) pp. 67–83
• D. Mumford, Geometric invariant theory（1965）, Springer ISBN 3-54-056963-4
• D. Mumford, Hilbert's fourteenth problem - the finite generation of subrings such as rings of invariants F.E. Browder（ed.）, Mathematical developments arising from Hilbert problems , Proc. Symp. Pure Math. , 28 , Amer. Math. Soc.（1976） pp. 431–444
• C.S. Seshadri, Geometric reductivity over arbitrary base Adv. Math. , 26 (1977) pp. 225–274