The article deals with the main range of problems of Grensk culture in the Final Palaeolithic and Mesolithic in the Upper Dnieper region. At present, the understanding of the ways and mechanisms of the formation and the time of habitation of members of this ancient culture are rather debatable. Interpretations of the sources have resulted in two completely different research approaches in terms of methodology, bringing together supporters of the indigenous (U. Budzko, V. Kapytsin, A. Kalechyts, G. Sinitsyna, etc) or migration (L. Zaliznyak, U. Ksiandzou, A. Sorokin, etc) ways of the emergence and the development of Grensk culture. It is impossible to understand the essence of the ‘Grensk question’ without considering the nature of its origin, the problem looked at in this article.
Transversal arrowheads (trapezia) are a characteristic type of hunting implement of some Final Palaeolithic-Early Mesolithic cultures of Eastern Europe. These cultures were studied in the Volga-Oka basin (Ienevo Culture), the Middle Dnieper-Desna basin (Pisochny Riv Culture), the Lower Dnieper-Donets region (Zimivnyki Culture) and the Volga-Kama confluence (Oust-Kamskaya Culture). Issues of origin and fate still remain debatable. An interest in the formation and interaction of Volga-Dnieper cultures with transversal arrowheads in their inventory is induced by their specific geographical position as well as a permanent increase in data. Discussions of the genesis of these trapezium complexes has tended to focus on two variants: 1) within Post-Ahrensburgian industries due to some factors (natural or social); 2) from west Asian-Caucasian cultures with geometric tools. Probably the first variant is most likely to be attributed to Ienevo and Pisochny Riv, and the second is preferable for Zimivnyki and Oust-Kamskaya. Cultures in the Dnieper-Donets and Middle Volga basins, on the basis of the great variety of trapezia, are assumed to represent an area of crossing of cultural tradition. The forms of this crossing need to be concretised in the course of further research.