Broneer, O ... American School of Classical Studies at Athens ... The calyx-krater of Exekias, first published in 1937,1 was discovered at the bottom of a well in the American School excavations on the North slope of the Acropolis in Athens. The circumstances of discovery ... 1956 ... Hektor's opponent, who was probably Ajax, holds his shield so as to be seen from the rear; his two arms appear in front of it.