Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gross-Hopkins duality and the Gorenstein condition   Gross and Hopkins have proved that in chromatic stable homotopy,
Spanier-Whitehead duality nearly coincides with Brown-Comenetz duality. Our
goal is to give a conceptual interpretation for this phenomenon in terms of the
Gorenstein condition for maps of ring spectra in the sense of [Duality in
algebra and topology, Adv. Math. 200 (2006), 357--402. arXiv: math.AT/0510247
]. We describe a general notion of Brown-Comenetz dualizing module for a map of
ring spectra and show that in this context such dualizing modules correspond
bijectively to invertible K(n)-local spectra.

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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph