Abstract

Let <TEX>$F{\subseteq}{\mathbb{P}}^3$</TEX> be a smooth surface of degree <TEX>$3{\leq}d{\leq}9$</TEX> whose equation can be expressed as either the determinant of a <TEX>$d{\times}d$</TEX> matrix of linear forms, or the pfaffian of a <TEX>$(2d){\times}(2d)$</TEX> matrix of linear forms. In this paper we show that F supports families of dimension p of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large p.

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