K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry
Valeri A. Gritsenko, Viacheslav V. Nikulin
Abstract
We consider the variant of Mirror Symmetry Conjecture for K3 surfaces which relates "geometry" of curves of a general member of a family of K3 with "algebraic functions" on the moduli of the mirror family. Lorentzian Kac--Moody algebras are involved in this construction. We give several examples when this conjecture is valid.
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