Lifting Monomial Ideals

@inproceedings{Nagel2008LiftingMI,
  title={Lifting Monomial Ideals},
  author={Uwe Nagel},
  year={2008}
}
We show how to lift any monomial ideal J in n variables to a saturated ideal I of the same codimension in n + t variables. We show that I has the same graded Betti numbers as J and we show how to obtain the matrices for the resolution of I. The cohomology of I is described. Making general choices for our lifting, we show that I is the ideal of a reduced union of linear varieties with singularities that are “as small as possible” given the cohomological constraints. The case where J is Artinian… CONTINUE READING

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