Which algebraic K3 surfaces doubly cover an enriques surface: a computational approach

Abstract

The relationship between K3 Surfaces and Enriques Surfaces is known to mathematicians for the last 30 years. We examined this relationship from a lattice theoretical point of view by looking at transcendental lattice of a K3 surface in the case of Picard number 18 and 19. We established a better way of attacking this problem with the help of a computer assistance.