Class groups of localities of rings of invariants of reductive algebraic groups

DOI10.1007/BF01162589zbMath0488.13003MaRDI QIDQ1165903

Haruhisa Nakajima

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173257

zbMATH Keywords

divisor class groupsinvariant subalgebraunique factorization domainaction of linearly reductive algebraic groupgraded normal domain

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items

Equidimensional actions of algebraic tori, Reduced ramification indices of quotient morphisms under torus actions, Divisorial free modules of relative invariants on Krull domains

Cites Work

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• Cohomology of algebraic linear groups
• Relative invariants of finite groups
• Completions of rings of invariants and their divisor class groups
• Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$
• Finite Generation of Class Groups of Rings of Invariants