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arxiv: alg-geom/9510008 · v1 · submitted 1995-10-08 · alg-geom · hep-th· math.AG· math.QA· q-alg

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

classification alg-geom hep-thmath.AGmath.QAq-alg
keywords mirroralgebrasconjecturefamilykac--moodylorentziansurfacessymmetry
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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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