June 14, 2024Open Access

Proper good quotients for Gₘ-actions

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Abstract

We give an algebraic proof of a result, due to Bialynicki-Birula and Sommese, characterizing the invariant open subsets of a normal proper variety equipped with a Gₘ-action that admit a proper good quotient. A major ingredient is the existence result for moduli spaces of algebraic stacks due to Alper, Halpern-Leistner and Heinloth.

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Xucheng Zhang (Fri,) studied this question.

synapsesocial.com/papers/68e64d66b6db6435875ddafe — DOI: https://doi.org/10.48550/arxiv.2406.09912

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Xucheng Zhang

Tsinghua University

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Proper good quotients for Gₘ-actions

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