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arXiv · 1707.08728

Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

Shinobu Hosono·Hiromichi Takagi
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Abstract

We study mirror symmetry of complete intersection Calabi-Yau manifolds which have birational automorphisms of infinite order. We observe that movable cones in birational geometry are transformed, under mirror symmetry, to the monodromy nilpotent cones which are naturally glued together.

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Shinobu Hosono, Hiromichi Takagi. 2017-07-27. Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds. https://doi.org/10.3842/sigma.2018.039

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