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1 vote
0 answers
266 views

Are there connections between Calabi-Yau manifolds and number theory?

I am interested in understanding whether there are any significant connections between Calabi-Yau manifolds and number theory. Calabi-Yau manifolds are central objects in algebraic geometry and string ...
7 votes
0 answers
401 views

Integrality of the mirror map -- non-GKZ examples? Counterexamples?

The mirror map in mirror symmetry is the change-of-variables between the natural coordinatizations on the two mirror sides and is typically a highly-complicated transcendental function (indeed, should ...