Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds
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DOI:
10.3842/sigma.2018.039
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发表时间:
2017-07
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
S. Hosono;Hiromichi Takagi
S. Hosono;Hiromichi Takagi
中科院分区:
其他
文献类型:
--
作者:
S. Hosono;Hiromichi Takagi

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本文研究了具有无限级双有理自同构的完全相交Calabi-Yau流形的镜像对称性。我们观察到,双有理几何中的可动锥在镜像对称下变换为自然粘合在一起的单值幂零锥。
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.