Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexification of real cycles and Lawson suspension theorem   We embed the space of totally real $r$-cycles of a totally real projective
variety into the space of complex $r$-cycles by complexification. We provide a
proof of the holomorphic taffy argument in the proof of Lawson suspension
theorem by using Chow forms and this proof gives us an analogous result for
totally real cycle spaces. We use Sturm theorem to derive a criterion for a
real polynomial of degree $d$ to have $d$ distinct real roots and use it to
prove the openness of some subsets of real divisors. This enables us to prove
that the suspension map induces a weak homotopy equivalence between two
enlarged spaces of totally real cycle spaces.

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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
19
The categories of this paper are: eess
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The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol