The Noether–Lefschetz locus of surfaces in P3${\mathbb {P}}^3$ formed by determinantal surfaces
The Noether–Lefschetz locus of surfaces in P3${\mathbb {P}}^3$ formed by determinantal surfaces
Abstract We compute the dimension of certain components of the family of smooth determinantal degree surfaces in , and show that each of them is the closure of a component of the Noether–Lefschetz locus . Our computations exhibit that smooth determinantal surfaces in of degree 4 form a divisor in …