[GS_M_AG] Ulrich sheaves and determinantal representations on higher secant varieties of curves
ABSTRACT
We show that higher secant varieties of smooth projective complex curves have symmetric admissible determinantal representations with symmetric Ulrich sheaves of rank one under some mild conditions on the embedding line bundles of the curves. We employ cohomological computations on symmetric products of curves and higher Szegő kernels associated to non-effective theta characteristics. This is joint work with Daniele Agostini and Mario Kummer.
