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

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

1995-10-08

arxiv.org/abs/alg-geom/9510008v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, AMS-TeX

Scientific paper

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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