The low-energy, background free and tagged K-following the ø(1020) decay produced at the DAΦNE ø-factory in Frascati represent a unique opportunity to carry out a dedicated program of hypernuclear physics with K− at rest. In this paper we give a survey of this challenging field and we describe the performances of a magnetic spectrometer designed for precise measurements of hypernuclei energy levels and of their decays modes.
