Abstract
albX : X −→ Alb(X) over its image. It was established in [LP] that QX is k-regular as an E-module: it is generated in degrees 0, . . . ,−k; the first syzygies among these generators have potential degrees−1, . . . ,−(k+ 1); and so on. In particular, if X has maximal Albanese dimension – i.e. when k(X) = 0 – then QX is generated in degree 0 and has a linear resolution. The purpose of this note is to prove a more precise statement in case k > 0.
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