Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Invariant Theory based on Weil Divisors   Given an action of a reductive group on a normal variety, we construct all
invariant open subsets admitting a good quotient with a quasiprojective or a
divisorial quotient space. Our approach extends known constructions like
Mumford's Geometric Invariant Theory. We obtain several new Hilbert-Mumford
type theorems, and we extend a projectivity criterion of Bialynicki-Birula and
Swiecicka for varieties with semisimple group action from the smooth to the
singular case.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys