Mathematical Research Letters

Volume 3, Issue 2, March 1996 pp. 211-229.

K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry

Authors: Valeri A. Gritsenko and Viacheslav V. Nikulin
Author institution: Steklov Mathematical Institute

Summary: We consider the variant of the Mirror Symmetry Conjecture for K3 surfaces which relates ``geometry" of curves on a general member of a family of K3 surfaces 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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