Commutative Algebra Seminar -- Spring 2011
- Friday, April 15, 2011, room 312 LeConte, noon.
Adela Vraciu will speak on "The Weak Lefschetz Property".
- Friday, April 8, 2011, room 312 LeConte, noon.
Adela Vraciu will speak on "The Weak Lefschetz Property".
- Friday, April 1, 2011, room 312 LeConte, noon. Dr. Sabine El Khoury, from the American University of Beirut, will speak on "A Class of Gorenstein Artin Algebras of Embedding Dimension Four".
Abstract. We study height four graded Gorenstein ideals I in k[x,y,z,w] such
that the homogeneous component of I of degree two is of height one and generated by three quadrics. After a suitable linear change of variables, the intersection of I and k[x,y,z] is either Gorenstein or of type two. The former case was studied by Iarrobino and Srinivasan where they give the structure of the ideal and its resolution. We study the latter case and give the structure of these ideals and their minimal resolution. We also explicitly write the form of the generators
of I and the maps in the free resolution of R/I.
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