K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry
alg-geom
2008-02-03 v1 High Energy Physics - Theory
Algebraic Geometry
Quantum Algebra
q-alg
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.
Cite
@article{arxiv.alg-geom/9510008,
title = {K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry},
author = {Valeri A. Gritsenko and Viacheslav V. Nikulin},
journal= {arXiv preprint arXiv:alg-geom/9510008},
year = {2008}
}
Comments
15 pages, no figures, AMS-TeX