Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conic programming: infeasibility certificates and projective geometry   We revisit facial reduction from the point of view of projective geometry.
This leads us to a homogenization strategy in conic programming that eliminates
the phenomenon of weak infeasibility. For semidefinite programs (and others),
this yields infeasibility certificates that can be checked in polynomial time.
Furthermore, we propose a refined type of infeasibility, which we call stably
infeasible, for which rational infeasibility certificates exist and that can be
distinguished from other infeasibility types by our homogenization.

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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: eess