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Galaxies at high redshift with a strong Ly-Alpha emission line trace massivestar formation in the absence of dust, and can therefore be regarded as a primesignature of the first major starburst in galaxies. We report results of theLy-Alpha search within the Calar Alto Deep Imaging Survey (CADIS). With imagingFabry-Perot interferometer CADIS can detect emission lines in three wavebandwindows free of night-sky emission lines at 700nm, 820nm, and 920nm. Thetypical flux detection limit for Ly-Alpha emission redshifted into thesewindows, Flim > 3X10^(-20) Wm^(-2), corresponds to (unobscured) star formationrates of >10Msun/yr at z=6. Candidate Ly-Alpha-emitting galaxies are selectedfrom the total emission line sample, which contains more than 97% of objects atz<1.2, by the absence of flux below the Lyman limit (B-band "dropouts"), andthe non-detection of secondary emission lines in narrow band filters. We havedetected 5 bright Ly-Alpha-emitting galaxy candidates at z ~ 4.8, and 11candidates at z ~ 5.7. For two of four observed Ly-Alpha candidates, onecandidate at z ~ 4.8, and the other at z ~ 5.7, the emission line detected withthe Fabry-Perot has been verified spectroscopically at the VLT. When comparedto Ly-Alpha surveys at z<3.5 even the upper limits set by our list ofcandidates show that bright Ly-Alpha galaxies are significantly rarer at z>5than the assumption of a non-evolving population would predict. Therefore weconclude that the Ly-Alpha bright phase of primeval star formation episodesreached its peak at redshifts between 3 and 6.Comment: Accepted for publication in A&A; 15 pages, 4 figure

Constraints to the evolution of Ly-αbright galaxies betweenz= 3 andz= 6