COSAM » Events » 2016 » February » Linear Algebra/Algebra Seminar
Linear Algebra/Algebra Seminar 
Time: Feb 02, 2016 (04:00 PM) 
Location: Parker Hall 244 
Details: Speaker: Douglas A. Leonard
Title: Nonsingularity of function fields using the Jacobian criterion
Abstract: Nonsingularity is usually thought of as a property of a ddimensional algebraic surface, meaning that locally there should be a nice ddimensional 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 nonsingular presentation of the function field.
