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arxiv: 1506.03665 · v2 · pith:4JWFR4XNnew · submitted 2015-06-11 · 🧮 math.DG

A remark about mirror symmetry of elliptic curves and generalized complex geometry

classification 🧮 math.DG
keywords curvesellipticcomplexdescribedgeneralizedmirrorcasecavalcanti-gualtieri
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In this short note we prove that in the case of elliptic curves, the isomorphism of generalized complex structure between $T$-dual manifolds described by Cavalcanti-Gualtieri coincides with the mirror map for elliptic curves described by Polishchuk and Zaslow.

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