Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

被引：10
|
作者：
Hosono, Shinobu [1 ]
Takagi, Hiromichi [1 ]
机构：
[1] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2018年 / 14卷
关键词：
Calabi-Yau manifolds; mirror symmetry; birational geometry; Hodge theory; LOGARITHMIC DEGENERATION DATA; MIRROR SYMMETRY; REYE CONGRUENCES; K3; SURFACE; COMPLETE-INTERSECTIONS; QUANTUM COHOMOLOGY; POSITIVE ENTROPY; MODULI SPACES; AUTOMORPHISM; EQUIVALENCE;
D O I：
10.3842/SIGMA.2018.039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：37
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