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.
A remark on boundedness of manifolds embedded with small codimension
Paltin Ionescu
2019
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.File in questo prodotto:
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Ionescu2019_Article_ARemarkOnBoundednessOfManifold.pdf
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Boundedness 2 (1).pdf
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