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Aims: We aim to understand the fragmentation as well as the disk formation,outflow generation and chemical processes during high-mass star formation onspatial scales of individual cores.  Methods: Using the IRAM Northern Extended Millimeter Array (NOEMA) incombination with the 30m telescope, we have observed in the IRAM large programCORE the 1.37mm continuum and spectral line emission at high angular resolution(~0.4'') for a sample of 20 well-known high-mass star-forming regions withdistances below 5.5kpc and luminosities larger than 10^4Lsun.  Results: We present the overall survey scope, the selected sample, theobservational setup and the main goals of CORE. Scientifically, we concentrateon the mm continuum emission on scales on the order of 1000AU. We detect strongmm continuum emission from all regions, mostly due to the emission from colddust. The fragmentation properties of the sample are diverse. We see extremeswhere some regions are dominated by a single high-mass core whereas othersfragment into as many as 20 cores. A minimum-spanning-tree analysis findsfragmentation at scales on the order of the thermal Jeans length or smallersuggesting that turbulent fragmentation is less important than thermalgravitational fragmentation. The diversity of highly fragmented versus singularregions can be explained by varying initial density structures and/or differentinitial magnetic field strengths.  Conclusions: The smallest observed separations between cores are found aroundthe angular resolution limit which indicates that further fragmentation likelytakes place on even smaller spatial scales. The CORE project with its numerousspectral line detections will address a diverse set of important physical andchemical questions in the field of high-mass star formation.

Fragmentation and disk formation during high-mass star formation: The IRAM NOEMA (Northern Extended Millimeter Array) large program CORE