Some properties of Borel ideals Original Research Article

Borel ideals appear as ‘generic initial ideals’ of ideals image. We analyse them paying special attention to the three variables case. In particular, we consider their Hilbert functions and minimal resolutions. Some features of a finite set image of points in image are investigated, by studying the Borel ideals that are generic initial ideals of image, will respect to deg-rev-lex ordering on monomials.