The AROMATH seminar will happen every second Wednesday at 11:00 (FR), except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and online at https://cutt.ly/aromath.
Click on a talk to see the abstract.
Laurent Busé – Determinantal tensor product surfaces and the method of moving quadrics
10 November 2020 –
A tensor product surface S is an algebraic surface that is defined as the closure of the image of a rational map ϕ from P1×P1 to P3. We provide new determinantal representations of S under the assumptions that ϕ is generically injective and its base points are finitely many and locally complete intersections. These determinantal representations are matrices that are built from the coefficients of linear relations (syzygies) and quadratic relations of the bihomogeneous polynomials defining ϕ. Our approach relies on a formalization and generalization of the method of moving quadrics introduced and studied by David Cox and his co-authors. (arXiv)