We present the photometric determination of the bright-end of the Ly{alpha} luminosity function (at L_Ly{alpha}>~10^43.5^erg/s) within four redshifts windows ({Delta}z<0.16) in the interval 2.2<~z10^43.3^erg/s) Ly{alpha}-emitting candidates. We test our selection with two spectroscopic follow-up programs at the GTC telescope,which confirm as line-emitting sources ~89% of the targets, with ~64% being genuine z~2.2 QSOs. We extend the 2.2<~z<~3.3 Ly{alpha} luminosity function for the first time above L_Ly{alpha}~10^44^erg/s and down to densities of ~10^-8^Mpc^-3^. Our results unveil with high detail the Schechter exponential-decay of the brightest-end of the Ly{alpha} LF, complementing the power-law component of previous LF determinations at 43.3<~Log10(L_Ly{alpha}/(erg/s))2 AGN/QSOs (likely dominant in our samples) are described by a structurally different LF than z>2 star-forming LAEs, namely with LQSOs~100 L_LAEs and {PHI}QSOs~10^-3^{PHI}LAEs. Finally, our method identifies very efficiently as high-z line-emitters sources without previous spectroscopic confirmation, currently classified as stars (~2000 objects in each redshift bin, on average). Assuming a large predominance of Ly{alpha}-emitting AGN/QSOs in our samples, this supports the scenario by which these are the most abundant class of z>~2 Ly{alpha} emitters at L_Ly{alpha}_>~10^43.3^erg/s.

Cone search capability for table J/A+A/643/A149/cj0395 (LAE candidates DR1, in narrow-band J0395)

Cone search capability for table J/A+A/643/A149/cj0410 (LAE candidates DR1, in narrow-band J0410)

Cone search capability for table J/A+A/643/A149/cj0430 (LAE candidates DR1, in narrow-band J0430)

Cone search capability for table J/A+A/643/A149/cj0515 (LAE candidates DR1, in narrow-band J0515)