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arxiv: physics/9802044 · v2 · submitted 1998-02-24 · 🧮 math-ph · hep-th· math.AG· math.MP

Mirror symmetry on K3 surfaces as a hyperkaehler rotation

classification 🧮 math-ph hep-thmath.AGmath.MP
keywords complexhypothesesmirrorahlerb-fieldfamilyfibrationforce
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We show that under the hypotheses of Strominger, Yau and Zaslow's paper, a mirror partner of a K3 surface $X$ with a fibration in special Lagrangian tori can be obtained by rotating the complex structure of $X$ within its hyperk\"ahler family of complex structures. The same hypotheses force the B-field to vanish.

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