Events

Algebra/Linear Algebra Seminar

Time: May 31, 2016 (03:00 PM)
Location: Parker Hall 224 (if available)

Details:
Speaker: Doug Leonard

Title: Various Jacobian matrix criteria for non-singularity of algebraic surfaces

Abstract: I'll compare affine, projective, and my multi-homogeneous versions of the Jacobian matrix criterion for non-singularity of algebraic surfaces. Then I'll suggest an alternative of using local criteria on a set of presentations rather than a global criterion on one presentation.

I'll use a basic function field example throughout:
                       \( K:=F(X_1,X_2)/<X_1^3X_2^3+X_1^2+X_2>\)