The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
To join online, at https://cutt.ly/aromath or with a web browser at https://cutt.ly/aromath-web
use meeting ID: 828 5859 7791, passcode: 123
Laurent Busé – Determinantal tensor product surfaces and the method of moving quadrics
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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)
