Quotients by C ∗ and SL(2,C) Actions

DOI10.2307/1999567zbMath0566.32026OpenAlexW1981632451MaRDI QIDQ3681130

Andrew John Sommese, Andrzej Białynicki-Biruła

Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999567

zbMATH Keywords

geometric quotientmeromorphic \({\mathbb{C}}^*\)-actionsnormal compact spacesectional open sets

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Complex Lie groups, group actions on complex spaces (32M05) Normal analytic spaces (32C20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (10)

A virtual fundamental class construction for the moduli space of \((\mathbb{C}^\ast)^n\)-equivariant morphisms ⋮ Nondeformability of the complex hyperquadric ⋮ Open subsets of projective spaces with a good quotient by an action of a reductive group ⋮ Bettizahlen des Modulraumes der stabilen n-markierten Bäume projektiver Geraden. (Betti numbers of the moduli space of stable n-pointed trees of projective lines.) ⋮ Complex-analytic quotients of algebraic \(G\)-varieties ⋮ Geometric invariant theory via Cox rings ⋮ On actions of \(\mathbb{C}^*\) on algebraic spaces ⋮ Unnamed Item ⋮ A note on coherent G-sheaves ⋮ A simple proof for the finiteness of GIT-quotients

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