Movable vs Monodromy Nilpotent Cones of Calabi-Yau Manifolds

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.

References in corpus (6)

• Homological projective duality for Grassmannians of lines
• Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
• Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds
• Automorphism groups of Calabi-Yau manifolds of Picard number two
• Calabi--Yau Operators
• On Clifford double mirrors of toric complete intersections

Cited by in corpus (5)

• Mirror Symmetry for Five-Parameter Hulek-Verrill Manifolds
• The movable cone of certain Calabi-Yau threefolds of Picard number two
• Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces
• Classical Weight-Four L-value Ratios as Sums of Calabi--Yau Invariants
• On numerical dimensions of Calabi--Yau varieties