10 citations · 34 across the 15 of their papers we have counts for
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math.AG2016★ 7 cited
Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves
Atsushi Kanazawa
We prove the Doran-Harder-Thompson conjecture in the case of elliptic curves by using ideas from SYZ mirror symmetry. The conjecture claims that when a Calabi-Yau manifold dege…
math.AG2016★ 10 cited
Local Calabi-Yau manifolds of type \tilde{A} via SYZ mirror symmetry
Atsushi Kanazawa, Siu-Cheong Lau
We carry out the SYZ program for the local Calabi--Yau manifolds of type by developing an equivariant SYZ theory for the toric Calabi--Yau manifolds of infinite-typ…