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A remark on boundedness of manifolds embedded with small codimension

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Abstract

For embedded projective manifolds of small codimension we give an explicit bound for their degree, depending on the Castelnuovo–Mumford regularity of their structure sheaf. As an application, we obtain bounds for the degree of such manifolds whose structure sheaf is arithmetically Cohen–Macaulay (in a weak sense) and whose canonical map is not birational.

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  1. Dipartimento di Matematica e Informatica, Università degli Studi di Ferrara, Via Machiavelli, 30, 44121, Ferrara, Italy

    Paltin Ionescu

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  1. Paltin Ionescu
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Ionescu, P. A remark on boundedness of manifolds embedded with small codimension. Ann Univ Ferrara 65, 121–125 (2019). https://doi.org/10.1007/s11565-018-0306-6

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  • DOI: https://doi.org/10.1007/s11565-018-0306-6

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