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Characteristic-free bounds for the Castelnuovo–Mumford regularity

Characteristic-free bounds for the Castelnuovo–Mumford regularity

We study bounds for the Castelnuovo–Mumford regularity of homogeneous ideals in a polynomial ring in terms of the number of variables and the degree of the generators. In particular, our aim is to give a positive answer to a question posed by Bayer and Mumford in What can be computed …