Algebraic Geometry Working Seminar

Catherine St-Pierre, University of Waterloo

"Borel fixed Ideals (in Krull dimension 0)"

Galligo, Bayer-Stillman and Pardue (summarized in Eisenbud) offered a description of generic monomial ideals and proved that they are Borel fixed for homogeneous ideals. In particular,  this description leads to a nice property of a k-basis of the quotient ring ($k[x_1,\dots,x_n]/I$) which may be used in complexity analysis. We will review the key ideas as we will show the result under a different hypothesis (i.e. $|V(I)|<\infty$ instead of $I$ homogeneous).

The seminar will also meet on Zoom.

Meeting ID: 817 1030 9714

Passcode: 063438​