4 papers
Ulrich sheaves and determinantal representations for higher secant varieties of curves
Daniele Agostini, Mario Kummer, Jinhyung Park
We show that higher secant varieties of smooth projective curves have symmetric admissible determinantal representations with symmetric Ulrich sheaves of rank one if the embedding…
Determinantal ideals of secant varieties
Daniele Agostini, Jinhyung Park
Using Hilbert schemes of points, we establish a number of results for a smooth projective variety in a sufficiently ample embedding. If is a curve or a surface, we show tha…
Coble duality for Jacobian Kummer fourfolds
Daniele Agostini, Pietro Beri, Franco Giovenzana +1
We study projective models of generalized Kummer fourfolds via O'Grady's theta groups and the classical Coble cubic. More precisely, we establish a duality between two singular mod…
Points on Rational Normal Curves and the ABCT Variety
Daniele Agostini, Lakshmi Ramesh, Dawei Shen
The ABCT variety is defined as the closure of the image of under the Veronese map. We realize the ABCT variety as the determinantal variety of a vector bundle mor…