Apart from relatively few exceptions of texts which survive intact, what we have of Ancient Greek literature remains, to a great degree, fragmentary. As a result it is often misread, overlooked or mined not for its own sake but to support the investigation of texts which survive in their entirety. This collection of chapters addresses a range of poetic fragments, with a strong (though not exclusive) focus on Archaic epic and lyric, and an emphasis on the papyrological tradition. Its main purpose is to showcase effective methodologies through case studies, through a "hands-on" approach assisted by a robust theoretical underpinning. The topics covered include textual criticism, the editing of fragmentary corpora, the role of palaeography and the physical features of writing materials, the study of ancient editions, annotations and paraliterary texts, matters of indirect or mixed tradition, and fragment placement and attribution. This volume will certainly be a rewarding read, intended equally for new researchers who wish to acquire or improve the skills needed to deal with fragmentary texts and for established scholars who may draw on the authors' insights to navigate the field improving their experience and enriching their knowledge.