Rank 2 Ulrich bundles on general double plane covers

Abstract

We prove that a double cover of P 2 ramified along a general smooth curve B of degree 2s, for s ≥ 3, supports a rank 2 special Ulrich bundle.

Veronese varieties and Hilbert functions

“…For generalities on complete intersections we refer to [Eis95]. To compare with similar existence and non-existence results for complete intersection on hypersurfaces and their applications we refer to [CCG08,ST22].…”