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We present a multi-year survey aimed at collecting (1) high-precision (~5milli-mag), (2) fast-cadence (~3 min), and (3) relatively long duration (~10days) multi-band photometric series. The goal of the survey is to discover andcharacterize efficiently variable objects and exoplanetary transits in fourfields containing five nearby open clusters spanning a broad range of ages.More in detail, our project will (1) constitute a preparatory survey forHARPS-N@TNG, which will be used for spectroscopic follow-up of any target ofinterest that this survey discovers or characterizes, (2) measure rotationalperiods and estimate the activity level of targets we are already monitoringwith HARPS and HARPS-N for exoplanet transit search, and (3) long termcharacterization of selected targets of interest in open clusters within theplanned K2 fields. In this first paper we give an overview of the project, andreport on the variability of objects within the first of our selected fields,which contains two open clusters: M 35 and NGC 2158. We detect 519 variableobjects, 273 of which are new discoveries, while the periods of most of thepreviously known variables are considerably improved.

Variable stars in two open clusters within the Kepler 2-Campaign-0 field: M 35 and NGC 2158