Abstract for the talk on 27.02.2019 (11:00 h)Seminar on Nonlinear Algebra
Eliana Duarte (MPI MIS, Leipzig)
Implicitization of tensor product surfaces with basepoints via residual resultants
27.02.2019, 11:00 h, MPI für Mathematik in den Naturwissenschaften Leipzig, G3 10 (Hörsaal)
A tensor product surface is the image of a rational map p P^1xP^1->P^3. Such surfaces arise in geometric modelling and
in this context it is useful to know the implicit equation of the closure of the image. In this talk I will introduce a residual resultant for P^1xP^1 following Gelfand, Kapranov, Zelevinski and show that it can be computed using virtual projective resolutions. Afterwards I will explain how to use the residual resultant in P^1xP^1 to compute implicit equations of tensor product surfaces. Many examples and concrete computations will be presented.