• Elliptic curves, ACM bundles and Ulrich bundles on prime Fano threefolds 

      Ciliberto, Ciro; Flamini, Flaminio; Knutsen, Andreas Leopold (Journal article; Peer reviewed, 2023)
      Let X be any smooth prime Fano threefold of degree 2g−2 in Pg+1 , with g ∈ {3, . . . , 10, 12}. We prove that for any integer d satisfying ⌊ g+3 2 ⌋ d g+3 the Hilbert scheme parametriz- ing smooth irreducible elliptic ...
    • Ulrich bundles on a general blow-up of the plane 

      Ciliberto, Ciro; Flamini, Flaminio; Knutsen, Andreas Leopold (Journal article; Peer reviewed, 2023)
      We prove that on X n , the plane blown-up at n very general points, there are Ulrich line bundles with respect to a line bundle corresponding to curves of degree m passing simply through the n blown-up points, with m ≤ 2√n ...