AN ANALOGUE OF THE TORELLI THEOREM FOR KUMMER SURFACES OF JACOBIANS
Vadim V. Nikulin · Mathematics of the USSR-Izvestiya · 1974
In this paper we obtain algebraic criteria that isolate the class of Kummer surfaces of Jacobians of curves of genus 2 within the class of K3 surfaces. In addition, we prove analogues of Torelli's theorems for these surfaces and find a standard representation for them as a complete intersection of three quadrics in P5.