\BOOKMARK [1][-]{section.1}{1. Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{2. Uniform rationality in high dimensions}{}% 2
\BOOKMARK [1][-]{section.3}{3. Determinantal representations}{}% 3
\BOOKMARK [2][-]{subsection.3.1}{3.1. Recollection of invariants}{section.3}% 4
\BOOKMARK [2][-]{subsection.3.2}{3.2. Interpretation of cohomology}{section.3}% 5
\BOOKMARK [2][-]{subsection.3.3}{3.3. Equations of the center}{section.3}% 6
\BOOKMARK [2][-]{subsection.3.4}{3.4. Linear algebra}{section.3}% 7
\BOOKMARK [2][-]{subsection.3.5}{3.5. Generic behavior}{section.3}% 8
\BOOKMARK [2][-]{subsection.3.6}{3.6. Degenerate cases in small dimension}{section.3}% 9
\BOOKMARK [1][-]{section.4}{4. Schubert calculus of the variety of planes}{}% 10
\BOOKMARK [1][-]{section.5}{5. Koszul computations}{}% 11
\BOOKMARK [2][-]{subsection.5.1}{5.1. General set-up}{section.5}% 12
\BOOKMARK [2][-]{subsection.5.2}{5.2. Planes in intersections of three quadrics in P9}{section.5}% 13
\BOOKMARK [1][-]{section*.1}{References}{}% 14