Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cox ring of an algebraic stack   We give a proper definition of the multiplicative structure of the following
rings: Cox ring of invertible sheaves on a general algebraic stack; Cox ring of
rank one reflexive sheaves on a normal and excellent algebraic stack. We show
that such Cox rings always exist and establish its (non-)uniqueness in terms of
an Ext-group. Moreover, we compare this definition with the classical
construction of a Cox ring on a variety. Finally, we give an application to the
theory of Mori dream stacks.

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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio