Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds
Shinobu Hosono, Hiromichi Takagi
TL;DR
This paper explores the relationship between movable cones and monodromy nilpotent cones in mirror symmetry for Calabi-Yau manifolds with infinite order automorphisms, revealing their transformation and gluing properties.
Contribution
It uncovers how movable cones correspond to monodromy nilpotent cones under mirror symmetry in certain Calabi-Yau manifolds, highlighting their geometric and symplectic interplay.
Findings
Movable cones are transformed into monodromy nilpotent cones under mirror symmetry.
Monodromy nilpotent cones are naturally glued together in the mirror setting.
The study focuses on Calabi-Yau manifolds with infinite order birational automorphisms.
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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