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1 – Intro | K3 surfaces & Lattices


When X is K3 then

H2(X,Z)UUUE8(1)E8(1)thus endowing H2(X,Z) with a lattice structure, called the

K3 lattice.

For any primitive hyperbolic sublattice S of the K3 lattice, there exists a K3 surface X such that 

SNS(X).