Lifting Monomial Ideals

  title={Lifting Monomial Ideals},
  author={Uwe Nagel},
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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Publications referenced by this paper.
Showing 1-10 of 25 references

Monomial Ideals and Points in Projective Space

A. V. Geramita, D. Gregory, L. Roberts
J. Pure Appl. Algebra 40 • 1986
View 7 Excerpts
Highly Influenced

Lifting modules and a theorem on finite free resolutions

D. Buchsbaum, D. Eisenbud
Ring theory • 1971
View 5 Excerpts
Highly Influenced

An Alternative to the Hilbert Function for the Ideal of a Finite Set of Points in Pn

A. V. Geramita, T. Harima, Y. S. Shin

Introduction to Liaison Theory and Deficiency Modules,

J. Migliore
Birkhäuser, Progress in Mathematics • 1998
View 1 Excerpt

The Hilbert Function and the Minimal Free Resolution of some Gorenstein Ideals of Codimension 4

A. V. Geramita, H. J. Ko, Y. S. Shin
Comm. Algebra, 26 • 1998

Families of curves in P3 and Zeuthen’s problem

R. Hartshorne
Mem. Amer. Math. Soc. 130 No. 617 • 1997
View 1 Excerpt

Smooth points of Gor(T )

A. V. Geramita, M. Pucci, Y. S. Shin
J. Pure Appl. Algebra 122 • 1997
View 1 Excerpt

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