COSAM » Events » 2016 » February » Linear Algebra/Algebra Seminar

Linear Algebra/Algebra Seminar
Time: Feb 02, 2016 (04:00 PM)
Location: Parker Hall 244

Speaker: Douglas A. Leonard

Title: Non-singularity of function fields using the Jacobian criterion

Abstract: Non-singularity is usually thought of as a property of a d-dimensional algebraic surface, meaning that locally there should be a nice d-dimensional tangent space. This is usually tested by computing the rank of the Jacobian matrix of partial derivatives.

Since I view a function field as the basic algebraic object to be studied, with the algebraic surface being the common domain of all of its elements, I'll reinterpret everything from this viewpoint, suggesting how one should actually go about desingularization to get a non-singular presentation of the function field.

Last updated: 02/01/2016