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6 papers · 1 filter
Normal Toric Ideals of Low Codimension
Pierre Dueck, Serkan Hosten, Bernd Sturmfels
Every normal toric ideal of codimension two is minimally generated by a Grobner basis with squarefree initial monomials. A polynomial time algorithm is presented for checking wheth…
Betti Numbers of Graded Modules and Cohomology of Vector Bundles
David Eisenbud, Frank-Olaf Schreyer
Mats Boij and Jonas Soederberg (math.AC/0611081) have conjectured that the Betti table of a Cohen-Macaulay module over a polynomial ring can be decomposed in a certain way as a pos…
Minimal Primes Over Permanental Ideals
George Kirkup
In this paper we discuss minimal primes over permanental ideals of generic matrices. We give a complete list of the minimal primes over ideals of 3 x 3 permanents of a generic matr…
Orbits of automorphism groups of fields
Kiran S. Kedlaya, Bjorn Poonen
We address several specific aspects of the following general question: can a field K have so many automorphisms that the action of the automorphism group on the elements of K has r…
Ideals of Adjacent Minors
Serkan Hosten, Seth Sullivant
We give a description of the minimal primes of the ideal generated by the 2 x 2 adjacent minors of a generic matrix. We also compute the complete prime decomposition of the ideal o…
The Graph of Monomial Ideals
Klaus Altmann, Bernd Sturmfels
There is a natural infinite graph whose vertices are the monomial ideals in a polynomial ring. The definition involves Gröbner bases or the action of an algebraic torus. We present…