Duality of Weights, Mirror Symmetry and Arnold's Strange Duality
نویسندگان
چکیده
منابع مشابه
Duality of Weights, Mirror Symmetry and Arnold’s Strange Duality
Introduction. The hypersurfaces in weighted projective spaces often appear as important examples in the context of mirror symmetry. In this paper, we describe the relation between polar duality and duality of weight systems. The duality of weights partly suggests why [CLS] produced a mirror symmetric phenomena using only a resolution of weighted hypersurface in weighted P. In fact, recently it ...
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M. Kobayashi introduced a notion of duality of weight systems. We tone this notion slightly down to a notion called coupling. We show that coupling induces a relation between the reduced zeta functions of the monodromy operators of the corresponding singularities generalizing an observation of K. Saito concerning Arnold's strange duality. We show that the weight systems of the mirror symmetric ...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2008
ISSN: 0387-3870
DOI: 10.3836/tjm/1219844834