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We study the impact of the environment on the evolution of galaxies in thezCOSMOS 10k sample in the redshift range 0.1<z<1.0 over an area of ~1.5 deg2.The considered sample of secure spectroscopic redshifts contains about 8500galaxies, with their stellar masses estimated by SED fitting of themultiwavelength optical to NIR photometry. The evolution of the galaxy stellarmass function (GSMF) in high and low density regions provides a tool to studythe mass assembly evolution in different environments; moreover, thecontributions to the GSMF from different galaxy types, as defined by their SEDsand their morphologies, can be quantified. At redshift z~1, the GSMF is onlyslightly dependent on environment, but at lower redshifts the shapes of theGSMFs in high- and low-density environments become extremely different, withhigh density regions exhibiting a marked bimodality. As a result, we infer thatgalaxy evolution depends on both the stellar mass and the environment, thelatter setting the probability of a galaxy to have a given mass: all the galaxyproperties related to the stellar mass show a dependence on environment,reflecting the difference observed in the mass functions. The shapes of theGSMFs of early- and late-type galaxies are almost identical for the extremes ofthe density contrast we consider. The evolution toward z=0 of the mass at whichthe early- and late-type GSMFs match each other is more rapid in high densityenvironments. The comparison of the observed GSMFs to the same quantitiesderived from a set of mock catalogues shows that blue galaxies in sparseenvironments are overproduced in the semi-analytical models at intermediate andhigh masses, because of a deficit of star formation suppression, while at z<0.5an excess of red galaxies is present in dense environments at intermediate andlow masses, because of the overquenching of satellites. ABRIDGED

Tracking the impact of environment on the Galaxy Stellar Mass Function up to z~1 in the 10k zCOSMOS sample