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

1995/10/08 by Gritsenko, Valeri A., Nikulin, Viacheslav V.
#10D20 #14D20 #17B65 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.alg-geom/9510008

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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