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arXiv · alg-geom/9510008

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

Valeri A. Gritsenko·Viacheslav V. Nikulin
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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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Valeri A. Gritsenko, Viacheslav V. Nikulin. 1995-10-08. K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry. https://arxiv.org/abs/alg-geom/9510008

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