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arxiv: 1711.10231 · v3 · pith:AEJMJHTVnew · submitted 2017-11-28 · 🧮 math.AG

Torelli problem for Calabi-Yau threefolds with GLSM description

classification 🧮 math.AG
keywords equivalentglsmproblemtorelliadmitsalherbirationalcalabi-yau
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We construct a gauged linear sigma model with two non-birational K\"alher phases which we prove to be derived equivalent, $\mathbb{L}$-equivalent, deformation equivalent and Hodge equivalent. This provides a new counterexample to the birational Torelli problem which admits a simple GLSM interpretation.

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